Factor 15 7/25-17 7/30

Math
15725-17730
Convert 15725 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
15+725-17730
Add 15 and 725.
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To write 15 as a fraction with a common denominator, multiply by 2525.
15⋅2525+725-17730
Combine 15 and 2525.
15⋅2525+725-17730
Combine the numerators over the common denominator.
15⋅25+725-17730
Simplify the numerator.
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Multiply 15 by 25.
375+725-17730
Add 375 and 7.
38225-17730
38225-17730
38225-17730
38225-17730
Convert 17730 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
38225-(17+730)
Add 17 and 730.
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To write 17 as a fraction with a common denominator, multiply by 3030.
38225-(17⋅3030+730)
Combine 17 and 3030.
38225-(17⋅3030+730)
Combine the numerators over the common denominator.
38225-17⋅30+730
Simplify the numerator.
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Multiply 17 by 30.
38225-510+730
Add 510 and 7.
38225-51730
38225-51730
38225-51730
38225-51730
To write 38225 as a fraction with a common denominator, multiply by 66.
38225⋅66-51730
To write -51730 as a fraction with a common denominator, multiply by 55.
38225⋅66-51730⋅55
Write each expression with a common denominator of 150, by multiplying each by an appropriate factor of 1.
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Multiply 38225 and 66.
382⋅625⋅6-51730⋅55
Multiply 25 by 6.
382⋅6150-51730⋅55
Multiply 51730 and 55.
382⋅6150-517⋅530⋅5
Multiply 30 by 5.
382⋅6150-517⋅5150
382⋅6150-517⋅5150
Combine the numerators over the common denominator.
382⋅6-517⋅5150
Simplify the numerator.
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Multiply 382 by 6.
2292-517⋅5150
Multiply -517 by 5.
2292-2585150
Subtract 2585 from 2292.
-293150
-293150
Move the negative in front of the fraction.
-293150
Factor 15 7/25-17 7/30

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