Solve (3/4*2+15)div3/8=

$$( \frac{ 3 }{ 4 } \times 2+15) \div \frac{ 3 }{ 8 } =$$

Evaluate

$$44$$

Solution Steps

Express \frac{3}{4}\times 2 as a single fraction.

$$\frac{\frac{3\times 2}{4}+15}{\frac{3}{8}}$$

Multiply 3 and 2 to get 6.

$$\frac{\frac{6}{4}+15}{\frac{3}{8}}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{2}+15}{\frac{3}{8}}$$

Convert 15 to fraction \frac{30}{2}.

$$\frac{\frac{3}{2}+\frac{30}{2}}{\frac{3}{8}}$$

Since \frac{3}{2} and \frac{30}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+30}{2}}{\frac{3}{8}}$$

Add 3 and 30 to get 33.

$$\frac{\frac{33}{2}}{\frac{3}{8}}$$

Divide \frac{33}{2} by \frac{3}{8} by multiplying \frac{33}{2} by the reciprocal of \frac{3}{8}.

$$\frac{33}{2}\times \frac{8}{3}$$

Multiply \frac{33}{2} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 8}{2\times 3}$$

Do the multiplications in the fraction \frac{33\times 8}{2\times 3}.

$$\frac{264}{6}$$

Divide 264 by 6 to get 44.

$$44$$

Factor

$$2^{2}\times 11$$