Evaluate (((-1-1/5)*(1/3-1/2)*(-2/3+1/4)+1/3)/(1-(-1+1/2)*(-3/5)+1/2*(1-1/2))-(-2/3)÷((-2/3)/((-1/5)*(-1/4)-1)))÷(25/19)

Math
((-1-15)⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)÷2519
To divide by a fraction, multiply by its reciprocal.
((-1-15)⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
To write -1 as a fraction with a common denominator, multiply by 55.
((-1⋅55-15)⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine -1 and 55.
((-1⋅55-15)⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(-1⋅5-15⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Simplify the numerator.
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Multiply -1 by 5.
(-5-15⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Subtract 1 from -5.
(-65⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(-65⋅(13-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
To write 13 as a fraction with a common denominator, multiply by 22.
(-65⋅(13⋅22-12)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
To write -12 as a fraction with a common denominator, multiply by 33.
(-65⋅(13⋅22-12⋅33)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 13 and 22.
(-65⋅(23⋅2-12⋅33)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 3 by 2.
(-65⋅(26-12⋅33)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 12 and 33.
(-65⋅(26-32⋅3)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 2 by 3.
(-65⋅(26-36)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(-65⋅(26-36)⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(-65⋅2-36⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Subtract 3 from 2.
(-65⋅-16⋅(-23+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
To write -23 as a fraction with a common denominator, multiply by 44.
(-65⋅-16⋅(-23⋅44+14)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
To write 14 as a fraction with a common denominator, multiply by 33.
(-65⋅-16⋅(-23⋅44+14⋅33)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 23 and 44.
(-65⋅-16⋅(-2⋅43⋅4+14⋅33)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 3 by 4.
(-65⋅-16⋅(-2⋅412+14⋅33)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 14 and 33.
(-65⋅-16⋅(-2⋅412+34⋅3)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 4 by 3.
(-65⋅-16⋅(-2⋅412+312)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(-65⋅-16⋅(-2⋅412+312)+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(-65⋅-16⋅-2⋅4+312+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Simplify the numerator.
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Multiply -2 by 4.
(-65⋅-16⋅-8+312+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Add -8 and 3.
(-65⋅-16⋅-512+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(-65⋅-16⋅-512+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Reorder the factors of -65⋅-16⋅-512.
(-16⋅-512-65+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
To write -16⋅-512-65 as a fraction with a common denominator, multiply by 33.
(-16⋅-512-65⋅33+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine fractions.
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Combine -16⋅-512-65 and 33.
(-16⋅-512-65⋅33+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(-16⋅-512-65⋅3+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(-16⋅-512-65⋅3+131-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Simplify each term.
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Multiply the numerator by the reciprocal of the denominator.
(-16⋅-512-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Simplify the numerator.
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Move the negative in front of the fraction.
(-16⋅-512-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Move the negative in front of the fraction.
(-16(-512)-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply -16(-512).
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Multiply -1 by -1.
(1(16)512-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 16 by 1.
(16⋅512-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 16 and 512.
(56⋅12⋅-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 6 by 12.
(572⋅-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(572⋅-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor of 5.
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Cancel the common factor.
(572⋅-65⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Rewrite the expression.
(172⋅-6⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(172⋅-6⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor of 6.
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Factor 6 out of 72.
(16(12)⋅-6⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Factor 6 out of -6.
(16⋅12⋅(6⋅-1)⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor.
(16⋅12⋅(6⋅-1)⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Rewrite the expression.
(112⋅-1⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(112⋅-1⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine 112 and -1.
(-112⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor of 3.
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Factor 3 out of 12.
(-13(4)⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor.
(-13⋅4⋅3+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Rewrite the expression.
(-14+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(-14+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Move the negative in front of the fraction.
(-14+13⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Write 1 as a fraction with a common denominator.
(-14+443⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(-1+443⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Add -1 and 4.
(343⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(343⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply the numerator by the reciprocal of the denominator.
(34⋅1311-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor of 3.
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Cancel the common factor.
(34⋅1311-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Rewrite the expression.
(14⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(14⋅11-(-1+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Simplify the denominator.
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To write -1 as a fraction with a common denominator, multiply by 22.
(14⋅11-(-1⋅22+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine -1 and 22.
(14⋅11-(-1⋅22+12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(14⋅11–1⋅2+12⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Simplify the numerator.
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Multiply -1 by 2.
(14⋅11–2+12⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Add -2 and 1.
(14⋅11–12⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(14⋅11–12⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Move the negative in front of the fraction.
(14⋅11–12⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply –12.
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Multiply -1 by -1.
(14⋅11+1(12)⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 12 by 1.
(14⋅11+12⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(14⋅11+12⋅(-35)+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 12(-35).
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Multiply 12 and 35.
(14⋅11-32⋅5+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Multiply 2 by 5.
(14⋅11-310+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
(14⋅11-310+12⋅(1-12)–23÷-23(-15)⋅(-14)-1)1925
Write 1 as a fraction with a common denominator.
(14⋅11-310+12⋅(22-12)–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(14⋅11-310+12⋅2-12–23÷-23(-15)⋅(-14)-1)1925
Subtract 1 from 2.
(14⋅11-310+12⋅12–23÷-23(-15)⋅(-14)-1)1925
Multiply 12⋅12.
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Multiply 12 and 12.
(14⋅11-310+12⋅2–23÷-23(-15)⋅(-14)-1)1925
Multiply 2 by 2.
(14⋅11-310+14–23÷-23(-15)⋅(-14)-1)1925
(14⋅11-310+14–23÷-23(-15)⋅(-14)-1)1925
Write 1 as a fraction with a common denominator.
(14⋅11010-310+14–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(14⋅110-310+14–23÷-23(-15)⋅(-14)-1)1925
Subtract 3 from 10.
(14⋅1710+14–23÷-23(-15)⋅(-14)-1)1925
To write 710 as a fraction with a common denominator, multiply by 22.
(14⋅1710⋅22+14–23÷-23(-15)⋅(-14)-1)1925
To write 14 as a fraction with a common denominator, multiply by 55.
(14⋅1710⋅22+14⋅55–23÷-23(-15)⋅(-14)-1)1925
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 710 and 22.
(14⋅17⋅210⋅2+14⋅55–23÷-23(-15)⋅(-14)-1)1925
Multiply 10 by 2.
(14⋅17⋅220+14⋅55–23÷-23(-15)⋅(-14)-1)1925
Multiply 14 and 55.
(14⋅17⋅220+54⋅5–23÷-23(-15)⋅(-14)-1)1925
Multiply 4 by 5.
(14⋅17⋅220+520–23÷-23(-15)⋅(-14)-1)1925
(14⋅17⋅220+520–23÷-23(-15)⋅(-14)-1)1925
Combine the numerators over the common denominator.
(14⋅17⋅2+520–23÷-23(-15)⋅(-14)-1)1925
Simplify the numerator.
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Multiply 7 by 2.
(14⋅114+520–23÷-23(-15)⋅(-14)-1)1925
Add 14 and 5.
(14⋅11920–23÷-23(-15)⋅(-14)-1)1925
(14⋅11920–23÷-23(-15)⋅(-14)-1)1925
(14⋅11920–23÷-23(-15)⋅(-14)-1)1925
Multiply the numerator by the reciprocal of the denominator.
(14(1(2019))–23÷-23(-15)⋅(-14)-1)1925
Multiply 2019 by 1.
(14⋅2019–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor of 4.
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Factor 4 out of 20.
(14⋅4(5)19–23÷-23(-15)⋅(-14)-1)1925
Cancel the common factor.
(14⋅4⋅519–23÷-23(-15)⋅(-14)-1)1925
Rewrite the expression.
(519–23÷-23(-15)⋅(-14)-1)1925
(519–23÷-23(-15)⋅(-14)-1)1925
To divide by a fraction, multiply by its reciprocal.
(519-(-23⋅(-15)⋅(-14)-1-23))1925
Multiply the numerator by the reciprocal of the denominator.
(519-(-23(((-15)⋅(-14)-1)(-32))))1925
Multiply (-15)(-14).
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Multiply -1 by -1.
(519-(-23((1(15)14-1)(-32))))1925
Multiply 15 by 1.
(519-(-23((15⋅14-1)(-32))))1925
Multiply 15 and 14.
(519-(-23((15⋅4-1)(-32))))1925
Multiply 5 by 4.
(519-(-23((120-1)(-32))))1925
(519-(-23((120-1)(-32))))1925
To write -1 as a fraction with a common denominator, multiply by 2020.
(519-(-23((120-1⋅2020)(-32))))1925
Combine -1 and 2020.
(519-(-23((120+-1⋅2020)(-32))))1925
Combine the numerators over the common denominator.
(519-(-23(1-1⋅2020(-32))))1925
Simplify the numerator.
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Multiply -1 by 20.
(519-(-23(1-2020(-32))))1925
Subtract 20 from 1.
(519-(-23(-1920(-32))))1925
(519-(-23(-1920(-32))))1925
Move the negative in front of the fraction.
(519-(-23(-1920(-32))))1925
Multiply -1920(-32).
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Multiply -1 by -1.
(519-(-23(1(1920)32)))1925
Multiply 1920 by 1.
(519-(-23(1920⋅32)))1925
Multiply 1920 and 32.
(519-(-23⋅19⋅320⋅2))1925
Multiply 19 by 3.
(519-(-23⋅5720⋅2))1925
Multiply 20 by 2.
(519-(-23⋅5740))1925
(519-(-23⋅5740))1925
Cancel the common factor of 2.
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Move the leading negative in -23 into the numerator.
(519-(-23⋅5740))1925
Factor 2 out of -2.
(519-(2(-1)3⋅5740))1925
Factor 2 out of 40.
(519-(2⋅-13⋅572⋅20))1925
Cancel the common factor.
(519-(2⋅-13⋅572⋅20))1925
Rewrite the expression.
(519-(-13⋅5720))1925
(519-(-13⋅5720))1925
Cancel the common factor of 3.
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Factor 3 out of 57.
(519-(-13⋅3(19)20))1925
Cancel the common factor.
(519-(-13⋅3⋅1920))1925
Rewrite the expression.
(519–1920)1925
(519–1920)1925
Multiply –1920.
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Multiply -1 by -1.
(519+1(1920))1925
Multiply 1920 by 1.
(519+1920)1925
(519+1920)1925
(519+1920)1925
To write 519 as a fraction with a common denominator, multiply by 2020.
(519⋅2020+1920)1925
To write 1920 as a fraction with a common denominator, multiply by 1919.
(519⋅2020+1920⋅1919)1925
Write each expression with a common denominator of 380, by multiplying each by an appropriate factor of 1.
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Multiply 519 and 2020.
(5⋅2019⋅20+1920⋅1919)1925
Multiply 19 by 20.
(5⋅20380+1920⋅1919)1925
Multiply 1920 and 1919.
(5⋅20380+19⋅1920⋅19)1925
Multiply 20 by 19.
(5⋅20380+19⋅19380)1925
(5⋅20380+19⋅19380)1925
Combine the numerators over the common denominator.
5⋅20+19⋅19380⋅1925
Simplify the numerator.
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Multiply 5 by 20.
100+19⋅19380⋅1925
Multiply 19 by 19.
100+361380⋅1925
Add 100 and 361.
461380⋅1925
461380⋅1925
Cancel the common factor of 19.
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Factor 19 out of 380.
46119(20)⋅1925
Cancel the common factor.
46119⋅20⋅1925
Rewrite the expression.
46120⋅125
46120⋅125
Multiply 46120 and 125.
46120⋅25
Multiply 20 by 25.
461500
The result can be shown in multiple forms.
Exact Form:
461500
Decimal Form:
0.922
Evaluate (((-1-1/5)*(1/3-1/2)*(-2/3+1/4)+1/3)/(1-(-1+1/2)*(-3/5)+1/2*(1-1/2))-(-2/3)÷((-2/3)/((-1/5)*(-1/4)-1)))÷(25/19)

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