Solve 2/5:6/7=(2/5*35):(6/7*35)

$$\frac { 2 } { 5 } : \frac { 6 } { 7 } = ( \frac { 2 } { 5 } \times 35 ) : ( \frac { 6 } { 7 } \times 35 )$$

Verify

Solution Steps

Divide \frac{2}{5} by \frac{6}{7} by multiplying \frac{2}{5} by the reciprocal of \frac{6}{7}.

$$\frac{2}{5}\times \frac{7}{6}=\frac{\frac{2}{5}\times 35}{\frac{6}{7}\times 35}$$

Multiply \frac{2}{5} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 7}{5\times 6}=\frac{\frac{2}{5}\times 35}{\frac{6}{7}\times 35}$$

Do the multiplications in the fraction \frac{2\times 7}{5\times 6}.

$$\frac{14}{30}=\frac{\frac{2}{5}\times 35}{\frac{6}{7}\times 35}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}=\frac{\frac{2}{5}\times 35}{\frac{6}{7}\times 35}$$

Cancel out 35 in both numerator and denominator.

$$\frac{7}{15}=\frac{\frac{2}{5}}{\frac{6}{7}}$$

Divide \frac{2}{5} by \frac{6}{7} by multiplying \frac{2}{5} by the reciprocal of \frac{6}{7}.

$$\frac{7}{15}=\frac{2}{5}\times \frac{7}{6}$$

Multiply \frac{2}{5} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{15}=\frac{2\times 7}{5\times 6}$$

Do the multiplications in the fraction \frac{2\times 7}{5\times 6}.

$$\frac{7}{15}=\frac{14}{30}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}=\frac{7}{15}$$

Compare \frac{7}{15} and \frac{7}{15}.

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