Solve 3/4+7/8div5/14

$$\frac { 3 } { 4 } + \frac { 7 } { 8 } \div \frac { 5 } { 14 }$$

Evaluate

$$\frac{16}{5}=3.2$$

Solution Steps

Divide \frac{7}{8} by \frac{5}{14} by multiplying \frac{7}{8} by the reciprocal of \frac{5}{14}.

$$\frac{3}{4}+\frac{7}{8}\times \frac{14}{5}$$

Multiply \frac{7}{8} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}+\frac{7\times 14}{8\times 5}$$

Do the multiplications in the fraction \frac{7\times 14}{8\times 5}.

$$\frac{3}{4}+\frac{98}{40}$$

Reduce the fraction \frac{98}{40} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}+\frac{49}{20}$$

Least common multiple of 4 and 20 is 20. Convert \frac{3}{4} and \frac{49}{20} to fractions with denominator 20.

$$\frac{15}{20}+\frac{49}{20}$$

Since \frac{15}{20} and \frac{49}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+49}{20}$$

Add 15 and 49 to get 64.

$$\frac{64}{20}$$

Reduce the fraction \frac{64}{20} to lowest terms by extracting and canceling out 4.

$$\frac{16}{5}$$

Factor

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$