Solve 33/8-13/4=

$$3 \frac { 3 } { 8 } - 1 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{13}{8}=1.625$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+3}{8}-\frac{1\times 4+3}{4}$$

Add 24 and 3 to get 27.

$$\frac{27}{8}-\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{27}{8}-\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{27}{8}-\frac{7}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{27}{8} and \frac{7}{4} to fractions with denominator 8.

$$\frac{27}{8}-\frac{14}{8}$$

Since \frac{27}{8} and \frac{14}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-14}{8}$$

Subtract 14 from 27 to get 13.

$$\frac{13}{8}$$

Factor

$$\frac{13}{2 ^ {3}} = 1\frac{5}{8} = 1.625$$