Solve 7/10/frac{9{16}}

$$\frac { \frac { 7 } { 10 } } { \frac { 9 } { 16 } }$$

Evaluate

$$\frac{56}{45}\approx 1.244444444$$

Solution Steps

Divide \frac{7}{10} by \frac{9}{16} by multiplying \frac{7}{10} by the reciprocal of \frac{9}{16}.

$$\frac{7}{10}\times \frac{16}{9}$$

Multiply \frac{7}{10} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 16}{10\times 9}$$

Do the multiplications in the fraction \frac{7\times 16}{10\times 9}.

$$\frac{112}{90}$$

Reduce the fraction \frac{112}{90} to lowest terms by extracting and canceling out 2.

$$\frac{56}{45}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {2} \cdot 5} = 1\frac{11}{45} = 1.2444444444444445$$