# Factor 3.75-(-3/8-1/2-(-5/6)+4 2/3)-0.125

3.75-(-38-12-(-56)+423)-0.125
Simplify each term.
Multiply -(-56).
Multiply -1 by -1.
3.75-(-38-12+1(56)+423)-0.125
Multiply 56 by 1.
3.75-(-38-12+56+423)-0.125
3.75-(-38-12+56+423)-0.125
Convert 423 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3.75-(-38-12+56+4+23)-0.125
To write 4 as a fraction with a common denominator, multiply by 33.
3.75-(-38-12+56+4⋅33+23)-0.125
Combine 4 and 33.
3.75-(-38-12+56+4⋅33+23)-0.125
Combine the numerators over the common denominator.
3.75-(-38-12+56+4⋅3+23)-0.125
Simplify the numerator.
Multiply 4 by 3.
3.75-(-38-12+56+12+23)-0.125
3.75-(-38-12+56+143)-0.125
3.75-(-38-12+56+143)-0.125
3.75-(-38-12+56+143)-0.125
3.75-(-38-12+56+143)-0.125
3.75-(-38-12+56+143)-0.125
Find the common denominator.
Multiply 38 by 33.
3.75-(-(38⋅33)-12+56+143)-0.125
Multiply 38 and 33.
3.75-(-3⋅38⋅3-12+56+143)-0.125
Multiply 12 by 1212.
3.75-(-3⋅38⋅3-(12⋅1212)+56+143)-0.125
Multiply 12 and 1212.
3.75-(-3⋅38⋅3-122⋅12+56+143)-0.125
Multiply 56 by 44.
3.75-(-3⋅38⋅3-122⋅12+56⋅44+143)-0.125
Multiply 56 and 44.
3.75-(-3⋅38⋅3-122⋅12+5⋅46⋅4+143)-0.125
Multiply 143 by 88.
3.75-(-3⋅38⋅3-122⋅12+5⋅46⋅4+143⋅88)-0.125
Multiply 143 and 88.
3.75-(-3⋅38⋅3-122⋅12+5⋅46⋅4+14⋅83⋅8)-0.125
Reorder the factors of 8⋅3.
3.75-(-3⋅33⋅8-122⋅12+5⋅46⋅4+14⋅83⋅8)-0.125
Multiply 3 by 8.
3.75-(-3⋅324-122⋅12+5⋅46⋅4+14⋅83⋅8)-0.125
Multiply 2 by 12.
3.75-(-3⋅324-1224+5⋅46⋅4+14⋅83⋅8)-0.125
Reorder the factors of 6⋅4.
3.75-(-3⋅324-1224+5⋅44⋅6+14⋅83⋅8)-0.125
Multiply 4 by 6.
3.75-(-3⋅324-1224+5⋅424+14⋅83⋅8)-0.125
Multiply 3 by 8.
3.75-(-3⋅324-1224+5⋅424+14⋅824)-0.125
3.75-(-3⋅324-1224+5⋅424+14⋅824)-0.125
Combine the numerators over the common denominator.
3.75–3⋅3-12+5⋅4+14⋅824-0.125
Simplify each term.
Multiply -3 by 3.
3.75–9-12+5⋅4+14⋅824-0.125
Multiply 5 by 4.
3.75–9-12+20+14⋅824-0.125
Multiply 14 by 8.
3.75–9-12+20+11224-0.125
3.75–9-12+20+11224-0.125
Subtract 12 from -9.
3.75–21+20+11224-0.125
3.75–1+11224-0.125
3.75-11124-0.125
Cancel the common factor of 111 and 24.
Factor 3 out of 111.
3.75-3(37)24-0.125
Cancel the common factors.
Factor 3 out of 24.
3.75-3⋅373⋅8-0.125
Cancel the common factor.
3.75-3⋅373⋅8-0.125
Rewrite the expression.
3.75-378-0.125
3.75-378-0.125
3.75-378-0.125
To write 3.75 as a fraction with a common denominator, multiply by 88.
3.75⋅88-378-0.125
Combine 3.75 and 88.
3.75⋅88-378-0.125
Combine the numerators over the common denominator.
3.75⋅8-378-0.125
Simplify the numerator.
Multiply 3.75 by 8.
30-378-0.125
Subtract 37 from 30.
-78-0.125
-78-0.125
To write -0.125 as a fraction with a common denominator, multiply by 88.
-78-0.125⋅88
Combine -0.125 and 88.
-78+-0.125⋅88
Combine the numerators over the common denominator.
-7-0.125⋅88
Simplify the numerator.
Multiply -0.125 by 8.
-7-18
Subtract 1 from -7.
-88
-88
Divide -8 by 8.
-1
Factor 3.75-(-3/8-1/2-(-5/6)+4 2/3)-0.125

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