Solve (2-13/8)div27/56

$$( 2 - \frac { 13 } { 8 } ) \div \frac { 27 } { 56 }$$

Evaluate

$$\frac{7}{9}\approx 0.777777778$$

Solution Steps

Convert 2 to fraction \frac{16}{8}.

$$\frac{\frac{16}{8}-\frac{13}{8}}{\frac{27}{56}}$$

Since \frac{16}{8} and \frac{13}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{16-13}{8}}{\frac{27}{56}}$$

Subtract 13 from 16 to get 3.

$$\frac{\frac{3}{8}}{\frac{27}{56}}$$

Divide \frac{3}{8} by \frac{27}{56} by multiplying \frac{3}{8} by the reciprocal of \frac{27}{56}.

$$\frac{3}{8}\times \frac{56}{27}$$

Multiply \frac{3}{8} times \frac{56}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 56}{8\times 27}$$

Do the multiplications in the fraction \frac{3\times 56}{8\times 27}.

$$\frac{168}{216}$$

Reduce the fraction \frac{168}{216} to lowest terms by extracting and canceling out 24.

$$\frac{7}{9}$$

Factor

$$\frac{7}{3 ^ {2}} = 0.7777777777777778$$