What is 5/a \times (2a)/(b^2)\times (3b)/(10) ?

The solution to 5/a \times (2a)/(b^2)\times (3b)/(10) is 3/b

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simplify 5/a \times (2a)/(b^2)\times (3b)/(10)

simplify

\frac{5}{a} \cdot \frac{2 a}{b ^{2}} \cdot \frac{3 b}{10}

\frac{3}{b}

Solution steps

\frac{5}{a} \cdot \frac{2 a}{b ^{2}} \cdot \frac{3 b}{10}

Apply the fraction rule:

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

= \frac{5 \cdot 2 a \cdot 3 b}{a b ^{2} \cdot 10}

Cancel the common factor:

a

= \frac{5 \cdot 2 \cdot 3 b}{b ^{2} \cdot 10}

Factor the number:

10 = 5 \cdot 2

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

Cancel the common factor:

5

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

Cancel the common factor:

2

= \frac{3 b}{b ^{2}}

Simplify

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

= \frac{3}{b}

(5 - 2) (- 105)

x^{4} + x^{3} - x^{2} - x

(9 x^{2})^{\frac{1}{2}}

\frac{6 + 3 3}{4 3}

What is 5/a \times (2a)/(b^2)\times (3b)/(10) ?
The solution to 5/a \times (2a)/(b^2)\times (3b)/(10) is 3/b