Evaluate (-3/4-2/3)-(-5/4-3)

Math
(-34-23)-(-54-3)
Simplify each term.
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To write -3 as a fraction with a common denominator, multiply by 44.
-34-23-(-54-3⋅44)
Combine -3 and 44.
-34-23-(-54+-3⋅44)
Combine the numerators over the common denominator.
-34-23–5-3⋅44
Simplify the numerator.
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Multiply -3 by 4.
-34-23–5-124
Subtract 12 from -5.
-34-23–174
-34-23–174
Move the negative in front of the fraction.
-34-23–174
Multiply –174.
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Multiply -1 by -1.
-34-23+1(174)
Multiply 174 by 1.
-34-23+174
-34-23+174
-34-23+174
Simplify terms.
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Combine fractions with similar denominators.
-3+174+-23
Add -3 and 17.
144+-23
Cancel the common factor of 14 and 4.
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Factor 2 out of 14.
2(7)4+-23
Cancel the common factors.
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Factor 2 out of 4.
2⋅72⋅2+-23
Cancel the common factor.
2⋅72⋅2+-23
Rewrite the expression.
72+-23
72+-23
72+-23
Move the negative in front of the fraction.
72-23
72-23
To write 72 as a fraction with a common denominator, multiply by 33.
72⋅33-23
To write -23 as a fraction with a common denominator, multiply by 22.
72⋅33-23⋅22
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 72 and 33.
7⋅32⋅3-23⋅22
Multiply 2 by 3.
7⋅36-23⋅22
Multiply 23 and 22.
7⋅36-2⋅23⋅2
Multiply 3 by 2.
7⋅36-2⋅26
7⋅36-2⋅26
Combine the numerators over the common denominator.
7⋅3-2⋅26
Simplify the numerator.
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Multiply 7 by 3.
21-2⋅26
Multiply -2 by 2.
21-46
Subtract 4 from 21.
176
176
The result can be shown in multiple forms.
Exact Form:
176
Decimal Form:
2.83‾
Mixed Number Form:
256
Evaluate (-3/4-2/3)-(-5/4-3)

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