Solve 14/25div4/3div0.7

$$\frac{ 14 }{ 25 } \div \frac{ 4 }{ 3 } \div 0.7$$

Evaluate

$$0.6$$

Solution Steps

Express \frac{\frac{\frac{14}{25}}{\frac{4}{3}}}{0.7} as a single fraction.

$$\frac{\frac{14}{25}}{\frac{4}{3}\times 0.7}$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{\frac{14}{25}}{\frac{4}{3}\times \frac{7}{10}}$$

Multiply \frac{4}{3} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{14}{25}}{\frac{4\times 7}{3\times 10}}$$

Do the multiplications in the fraction \frac{4\times 7}{3\times 10}.

$$\frac{\frac{14}{25}}{\frac{28}{30}}$$

Reduce the fraction \frac{28}{30} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{14}{25}}{\frac{14}{15}}$$

Divide \frac{14}{25} by \frac{14}{15} by multiplying \frac{14}{25} by the reciprocal of \frac{14}{15}.

$$\frac{14}{25}\times \frac{15}{14}$$

Multiply \frac{14}{25} times \frac{15}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 15}{25\times 14}$$

Cancel out 14 in both numerator and denominator.

$$\frac{15}{25}$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$