Solve 5/8div7/12div7/10

$$\frac{ 5 }{ 8 } \div \frac{ 7 }{ 12 } \div \frac{ 7 }{ 10 }$$

Evaluate

$$\frac{75}{49}\approx 1.530612245$$

Solution Steps

Divide \frac{\frac{5}{8}}{\frac{7}{12}} by \frac{7}{10} by multiplying \frac{\frac{5}{8}}{\frac{7}{12}} by the reciprocal of \frac{7}{10}.

$$\frac{\frac{5}{8}\times 10}{\frac{7}{12}\times 7}$$

Express \frac{5}{8}\times 10 as a single fraction.

$$\frac{\frac{5\times 10}{8}}{\frac{7}{12}\times 7}$$

Multiply 5 and 10 to get 50.

$$\frac{\frac{50}{8}}{\frac{7}{12}\times 7}$$

Reduce the fraction \frac{50}{8} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{25}{4}}{\frac{7}{12}\times 7}$$

Express \frac{7}{12}\times 7 as a single fraction.

$$\frac{\frac{25}{4}}{\frac{7\times 7}{12}}$$

Multiply 7 and 7 to get 49.

$$\frac{\frac{25}{4}}{\frac{49}{12}}$$

Divide \frac{25}{4} by \frac{49}{12} by multiplying \frac{25}{4} by the reciprocal of \frac{49}{12}.

$$\frac{25}{4}\times \frac{12}{49}$$

Multiply \frac{25}{4} times \frac{12}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 12}{4\times 49}$$

Do the multiplications in the fraction \frac{25\times 12}{4\times 49}.

$$\frac{300}{196}$$

Reduce the fraction \frac{300}{196} to lowest terms by extracting and canceling out 4.

$$\frac{75}{49}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{7 ^ {2}} = 1\frac{26}{49} = 1.530612244897959$$