Solve (7/8+13/16)div13/16

$$( \frac { 7 } { 8 } + \frac { 13 } { 16 } ) \div \frac { 13 } { 16 }$$

Evaluate

$$\frac{27}{13}\approx 2.076923077$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{7}{8} and \frac{13}{16} to fractions with denominator 16.

$$\frac{\frac{14}{16}+\frac{13}{16}}{\frac{13}{16}}$$

Since \frac{14}{16} and \frac{13}{16} have the same denominator, add them by adding their numerators.

$$\frac{\frac{14+13}{16}}{\frac{13}{16}}$$

Add 14 and 13 to get 27.

$$\frac{\frac{27}{16}}{\frac{13}{16}}$$

Divide \frac{27}{16} by \frac{13}{16} by multiplying \frac{27}{16} by the reciprocal of \frac{13}{16}.

$$\frac{27}{16}\times \frac{16}{13}$$

Multiply \frac{27}{16} times \frac{16}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 16}{16\times 13}$$

Cancel out 16 in both numerator and denominator.

$$\frac{27}{13}$$

Factor

$$\frac{3 ^ {3}}{13} = 2\frac{1}{13} = 2.076923076923077$$