# Simplify (4/15)÷3 5/9 415÷359
Convert 359 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
4153+59
Add 3 and 59.
To write 3 as a fraction with a common denominator, multiply by 99.
4153⋅99+59
Combine 3 and 99.
4153⋅99+59
Combine the numerators over the common denominator.
4153⋅9+59
Simplify the numerator.
Multiply 3 by 9.
41527+59
Add 27 and 5.
415329
415329
415329
415329
Multiply the numerator by the reciprocal of the denominator.
415⋅932
Cancel the common factor of 4.
Factor 4 out of 32.
415⋅94(8)
Cancel the common factor.
415⋅94⋅8
Rewrite the expression.
115⋅98
115⋅98
Cancel the common factor of 3.
Factor 3 out of 15.
13(5)⋅98
Factor 3 out of 9.
13⋅5⋅3⋅38
Cancel the common factor.
13⋅5⋅3⋅38
Rewrite the expression.
15⋅38
15⋅38
Multiply 15 and 38.
35⋅8
Multiply 5 by 8.
340
The result can be shown in multiple forms.
Exact Form:
340
Decimal Form:
0.075
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