What is (2/5*6/7)/(5/7) ?

The solution to (2/5*6/7)/(5/7) is 12/25

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simplify (2/5*6/7)/(5/7)

simplify

\frac{\frac{2}{5} \cdot \frac{6}{7}}{\frac{5}{7}}

\frac{12}{25}

Decimal Notation

0.48

Solution steps

\frac{\frac{2}{5} \cdot \frac{6}{7}}{\frac{5}{7}}

Apply the fraction rule:

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

= \frac{\frac{2}{5} \cdot \frac{6}{7} \cdot 7}{5}

Convert element to fraction:

7 = \frac{7}{1}

= \frac{\frac{2}{5} \cdot \frac{6}{7} \cdot \frac{7}{1}}{5}

Cross-cancel common factor:

7

= \frac{\frac{2}{5} \cdot \frac{6}{1}}{5}

Divide the numbers:

\frac{6}{1} = 6

= \frac{\frac{2}{5} \cdot 6}{5}

\frac{2}{5} \cdot 6 = \frac{12}{5}

= \frac{\frac{12}{5}}{5}

Apply the fraction rule:

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

= \frac{12}{5 \cdot 5}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{12}{25}

m^{2} + 2 m + 6 = 0

6 x^{2} + 72 x + 210 = 0

- \frac{1}{2} < \frac{4 - 3 x}{5} < \frac{1}{4}

3 x^{2} - x - 7 = 0

x^{2} + 9 x + 8 = 0