Solve (3/4*2+1.5)div3/8=

$$( \frac{ 3 }{ 4 } \times 2+1.5) \div \frac{ 3 }{ 8 } =$$

Evaluate

$$8$$

Solution Steps

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

$$\frac{\frac{3\times 2}{4}+1.5}{\frac{3}{8}}$$

Multiply 3 and 2 to get 6.

$$\frac{\frac{6}{4}+1.5}{\frac{3}{8}}$$

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

$$\frac{\frac{3}{2}+1.5}{\frac{3}{8}}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

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

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

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

Add 3 and 3 to get 6.

$$\frac{\frac{6}{2}}{\frac{3}{8}}$$

Divide 6 by 2 to get 3.

$$\frac{3}{\frac{3}{8}}$$

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

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

Cancel out 3 and 3.

$$8$$

Factor

$$2^{3}$$