# Multiply 4 1/5*1 3/7 415⋅137
Convert 415 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(4+15)⋅137
To write 4 as a fraction with a common denominator, multiply by 55.
(4⋅55+15)⋅137
Combine 4 and 55.
(4⋅55+15)⋅137
Combine the numerators over the common denominator.
4⋅5+15⋅137
Simplify the numerator.
Multiply 4 by 5.
20+15⋅137
215⋅137
215⋅137
215⋅137
215⋅137
Convert 137 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
215⋅(1+37)
Write 1 as a fraction with a common denominator.
215⋅(77+37)
Combine the numerators over the common denominator.
215⋅7+37
215⋅107
215⋅107
215⋅107
Cancel the common factor of 7.
Factor 7 out of 21.
7(3)5⋅107
Cancel the common factor.
7⋅35⋅107
Rewrite the expression.
35⋅10
35⋅10
Cancel the common factor of 5.
Factor 5 out of 10.
35⋅(5(2))
Cancel the common factor.
35⋅(5⋅2)
Rewrite the expression.
3⋅2
3⋅2
Multiply 3 by 2.
6
Multiply 4 1/5*1 3/7

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