What is ((12a^2*b))/((15a*b^3)) ?

The solution to ((12a^2*b))/((15a*b^3)) is (4a)/(5b^2)

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simplify ((12a^2b))/((15ab^3))

simplify

\frac{( 12 a ^{2} \cdot b )}{( 15 a \cdot b ^{3} )}

\frac{4 a}{5 b ^{2}}

Solution steps

\frac{12 a ^{2} b}{15 a b ^{3}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4 a ^{2} b}{15 a b ^{3}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 4 a ^{2} b}{3 \cdot 5 a b ^{3}}

Cancel the common factor:

3

= \frac{4 a ^{2} b}{5 a b ^{3}}

Simplify

\frac{a ^{2}}{a} : a

= \frac{4 ab}{5 b ^{3}}

Simplify

\frac{b}{b ^{3}} : \frac{1}{b ^{2}}

= \frac{4 a}{5 b ^{2}}

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What is ((12a^2*b))/((15a*b^3)) ?
The solution to ((12a^2*b))/((15a*b^3)) is (4a)/(5b^2)