Solve (5/4div7/5)div7/6

$$( \frac { 5 } { 4 } \div \frac { 7 } { 5 } ) \div \frac { 7 } { 6 }$$

Evaluate

$$\frac{75}{98}\approx 0.765306122$$

Solution Steps

Divide \frac{\frac{5}{4}}{\frac{7}{5}} by \frac{7}{6} by multiplying \frac{\frac{5}{4}}{\frac{7}{5}} by the reciprocal of \frac{7}{6}.

$$\frac{\frac{5}{4}\times 6}{\frac{7}{5}\times 7}$$

Express \frac{5}{4}\times 6 as a single fraction.

$$\frac{\frac{5\times 6}{4}}{\frac{7}{5}\times 7}$$

Multiply 5 and 6 to get 30.

$$\frac{\frac{30}{4}}{\frac{7}{5}\times 7}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

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

Express \frac{7}{5}\times 7 as a single fraction.

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

Multiply 7 and 7 to get 49.

$$\frac{\frac{15}{2}}{\frac{49}{5}}$$

Divide \frac{15}{2} by \frac{49}{5} by multiplying \frac{15}{2} by the reciprocal of \frac{49}{5}.

$$\frac{15}{2}\times \frac{5}{49}$$

Multiply \frac{15}{2} times \frac{5}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 5}{2\times 49}$$

Do the multiplications in the fraction \frac{15\times 5}{2\times 49}.

$$\frac{75}{98}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 \cdot 7 ^ {2}} = 0.7653061224489796$$