What is (15ab)/4*8/(9a^2b^2) ?

The solution to (15ab)/4*8/(9a^2b^2) is (10)/(3ab)

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simplify (15ab)/4*8/(9a^2b^2)

simplify

\frac{15 ab}{4} \cdot \frac{8}{9 a ^{2} b ^{2}}

\frac{10}{3 ab}

Solution steps

\frac{15 ab}{4} \cdot \frac{8}{9 a ^{2} b ^{2}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{15 ab \cdot 8}{4 \cdot 9 a ^{2} b ^{2}}

Factor the number:

8 = 4 \cdot 2

= \frac{15 ab \cdot 4 \cdot 2}{4 \cdot 9 a ^{2} b ^{2}}

Cancel the common factor:

4

= \frac{15 ab \cdot 2}{9 a ^{2} b ^{2}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 ab \cdot 2}{9 a ^{2} b ^{2}}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Simplify

\frac{a}{a ^{2}} : \frac{1}{a}

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

Simplify

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

= \frac{5 \cdot 2}{3 ab}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{10}{3 ab}

\frac{- 2 - ( - 8 )}{- 1 - 2}

7 w + 5 = 3 w - 15

x^{3} + x^{2} - 26 x + 24 \geq 0

5 (x + 3) = 35

What is (15ab)/4*8/(9a^2b^2) ?
The solution to (15ab)/4*8/(9a^2b^2) is (10)/(3ab)