Solve 4/5+3/8:9/16=

$$\frac { 4 } { 5 } + \frac { 3 } { 8 } : \frac { 9 } { 16 } =$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

Divide \frac{3}{8} by \frac{9}{16} by multiplying \frac{3}{8} by the reciprocal of \frac{9}{16}.

$$\frac{4}{5}+\frac{3}{8}\times \frac{16}{9}$$

Multiply \frac{3}{8} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}+\frac{3\times 16}{8\times 9}$$

Do the multiplications in the fraction \frac{3\times 16}{8\times 9}.

$$\frac{4}{5}+\frac{48}{72}$$

Reduce the fraction \frac{48}{72} to lowest terms by extracting and canceling out 24.

$$\frac{4}{5}+\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{4}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{12}{15}+\frac{10}{15}$$

Since \frac{12}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{12+10}{15}$$

Add 12 and 10 to get 22.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$