What is (7a^2)/(15b^2)\times (6b)/(5a) ?

The solution to (7a^2)/(15b^2)\times (6b)/(5a) is (14a)/(25b)

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simplify (7a^2)/(15b^2)\times (6b)/(5a)

simplify

\frac{7 a ^{2}}{15 b ^{2}} \cdot \frac{6 b}{5 a}

\frac{14 a}{25 b}

Solution steps

\frac{7 a ^{2}}{15 b ^{2}} \cdot \frac{6 b}{5 a}

Apply the fraction rule:

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

= \frac{7 a ^{2} \cdot 6 b}{15 b ^{2} \cdot 5 a}

Factor the number:

6 = 3 \cdot 2

= \frac{7 a ^{2} \cdot 3 \cdot 2 b}{15 b ^{2} \cdot 5 a}

Factor the number:

15 = 3 \cdot 5

= \frac{7 a ^{2} \cdot 3 \cdot 2 b}{3 \cdot 5 b ^{2} \cdot 5 a}

Cancel the common factor:

3

= \frac{7 a ^{2} \cdot 2 b}{5 b ^{2} \cdot 5 a}

Simplify

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

= \frac{7 a \cdot 2 b}{5 b ^{2} \cdot 5}

Simplify

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

= \frac{7 a \cdot 2}{5 b \cdot 5}

Multiply the numbers:

7 \cdot 2 = 14

= \frac{14 a}{5 b \cdot 5}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{14 a}{25 b}

- 6 x \leq 42

9 x^{2} + 2 x - 1 = 0

5 x^{2} - 19 x + 12

\frac{5 ( m ^{- 2} ) ^{3}}{20 m ^{9}}

∣ 2 x + 5 ∣ > 3

What is (7a^2)/(15b^2)\times (6b)/(5a) ?
The solution to (7a^2)/(15b^2)\times (6b)/(5a) is (14a)/(25b)