Solve 21/2*3-15/8div1/4

$$2 \frac { 1 } { 2 } \times 3 - 1 \frac { 5 } { 8 } \div \frac { 1 } { 4 }$$

Evaluate

$$1$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}\times 3-\frac{\frac{1\times 8+5}{8}}{\frac{1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}\times 3-\frac{\frac{1\times 8+5}{8}}{\frac{1}{4}}$$

Express \frac{5}{2}\times 3 as a single fraction.

$$\frac{5\times 3}{2}-\frac{\frac{1\times 8+5}{8}}{\frac{1}{4}}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{2}-\frac{\frac{1\times 8+5}{8}}{\frac{1}{4}}$$

Divide \frac{1\times 8+5}{8} by \frac{1}{4} by multiplying \frac{1\times 8+5}{8} by the reciprocal of \frac{1}{4}.

$$\frac{15}{2}-\frac{\left(1\times 8+5\right)\times 4}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{15}{2}-\frac{\left(8+5\right)\times 4}{8}$$

Add 8 and 5 to get 13.

$$\frac{15}{2}-\frac{13\times 4}{8}$$

Multiply 13 and 4 to get 52.

$$\frac{15}{2}-\frac{52}{8}$$

Reduce the fraction \frac{52}{8} to lowest terms by extracting and canceling out 4.

$$\frac{15}{2}-\frac{13}{2}$$

Since \frac{15}{2} and \frac{13}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-13}{2}$$

Subtract 13 from 15 to get 2.

$$\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$