Solve (73/8-31/4*2)div2

$$( 7 \frac { 3 } { 8 } - 3 \frac { 1 } { 4 } \times 2 ) \div 2$$

Evaluate

$$\frac{7}{16}=0.4375$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{\frac{56+3}{8}-\frac{3\times 4+1}{4}\times 2}{2}$$

Add 56 and 3 to get 59.

$$\frac{\frac{59}{8}-\frac{3\times 4+1}{4}\times 2}{2}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{59}{8}-\frac{12+1}{4}\times 2}{2}$$

Add 12 and 1 to get 13.

$$\frac{\frac{59}{8}-\frac{13}{4}\times 2}{2}$$

Express \frac{13}{4}\times 2 as a single fraction.

$$\frac{\frac{59}{8}-\frac{13\times 2}{4}}{2}$$

Multiply 13 and 2 to get 26.

$$\frac{\frac{59}{8}-\frac{26}{4}}{2}$$

Reduce the fraction \frac{26}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{59}{8}-\frac{13}{2}}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{59}{8} and \frac{13}{2} to fractions with denominator 8.

$$\frac{\frac{59}{8}-\frac{52}{8}}{2}$$

Since \frac{59}{8} and \frac{52}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{59-52}{8}}{2}$$

Subtract 52 from 59 to get 7.

$$\frac{\frac{7}{8}}{2}$$

Express \frac{\frac{7}{8}}{2} as a single fraction.

$$\frac{7}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$\frac{7}{16}$$

Factor

$$\frac{7}{2 ^ {4}} = 0.4375$$