Factor 15/8+2/5+-7/8

Math
158+25+-78
To write 158 as a fraction with a common denominator, multiply by 55.
158⋅55+25+-78
To write 25 as a fraction with a common denominator, multiply by 88.
158⋅55+25⋅88+-78
Write each expression with a common denominator of 40, by multiplying each by an appropriate factor of 1.
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Multiply 158 and 55.
15⋅58⋅5+25⋅88+-78
Multiply 8 by 5.
15⋅540+25⋅88+-78
Multiply 25 and 88.
15⋅540+2⋅85⋅8+-78
Multiply 5 by 8.
15⋅540+2⋅840+-78
15⋅540+2⋅840+-78
Combine the numerators over the common denominator.
15⋅5+2⋅840+-78
Simplify the numerator.
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Multiply 15 by 5.
75+2⋅840+-78
Multiply 2 by 8.
75+1640+-78
Add 75 and 16.
9140+-78
9140+-78
To write -78 as a fraction with a common denominator, multiply by 55.
9140+-78⋅55
Write each expression with a common denominator of 40, by multiplying each by an appropriate factor of 1.
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Multiply -78 and 55.
9140+-7⋅58⋅5
Multiply 8 by 5.
9140+-7⋅540
9140+-7⋅540
Combine the numerators over the common denominator.
91-7⋅540
Simplify the numerator.
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Multiply -7 by 5.
91-3540
Subtract 35 from 91.
5640
5640
Cancel the common factor of 56 and 40.
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Factor 8 out of 56.
8(7)40
Cancel the common factors.
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Factor 8 out of 40.
8⋅78⋅5
Cancel the common factor.
8⋅78⋅5
Rewrite the expression.
75
75
75
Factor 15/8+2/5+-7/8

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