Solve 3/4+3/8div2/3

$$\frac { 3 } { 4 } + \frac { 3 } { 8 } \div \frac { 2 } { 3 }$$

Evaluate

$$\frac{21}{16}=1.3125$$

Solution Steps

Divide \frac{3}{8} by \frac{2}{3} by multiplying \frac{3}{8} by the reciprocal of \frac{2}{3}.

$$\frac{3}{4}+\frac{3}{8}\times \frac{3}{2}$$

Multiply \frac{3}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}+\frac{3\times 3}{8\times 2}$$

Do the multiplications in the fraction \frac{3\times 3}{8\times 2}.

$$\frac{3}{4}+\frac{9}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{3}{4} and \frac{9}{16} to fractions with denominator 16.

$$\frac{12}{16}+\frac{9}{16}$$

Since \frac{12}{16} and \frac{9}{16} have the same denominator, add them by adding their numerators.

$$\frac{12+9}{16}$$

Add 12 and 9 to get 21.

$$\frac{21}{16}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {4}} = 1\frac{5}{16} = 1.3125$$