What is 1/5*x*2/7*x*14/6 ?

The solution to 1/5*x*2/7*x*14/6 is (2x^2)/(15)

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simplify 1/5x2/7x14/6

simplify

\frac{1}{5} \cdot x \cdot \frac{2}{7} \cdot x \cdot \frac{14}{6}

\frac{2 x ^{2}}{15}

Solution steps

\frac{1}{5} x \frac{2}{7} x \frac{14}{6}

Cancel

\frac{14}{6} : \frac{7}{3}

= \frac{1}{5} x \frac{2}{7} x \frac{7}{3}

Cross-cancel common factor:

7

= \frac{1}{5} x \frac{2}{3} x

Apply the fraction rule:

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

= \frac{1 \cdot x \cdot 2 x}{5 \cdot 3}

Simplify

1 \cdot x \cdot 2 x : 2 x^{2}

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

Multiply the numbers:

5 \cdot 3 = 15

= \frac{2 x ^{2}}{15}

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