Solve 33/4-15/8=

$$3 \frac { 3 } { 4 } - 1 \frac { 5 } { 8 } =$$

Evaluate

$$\frac{17}{8}=2.125$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}-\frac{1\times 8+5}{8}$$

Add 12 and 3 to get 15.

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

Multiply 1 and 8 to get 8.

$$\frac{15}{4}-\frac{8+5}{8}$$

Add 8 and 5 to get 13.

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

Least common multiple of 4 and 8 is 8. Convert \frac{15}{4} and \frac{13}{8} to fractions with denominator 8.

$$\frac{30}{8}-\frac{13}{8}$$

Since \frac{30}{8} and \frac{13}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-13}{8}$$

Subtract 13 from 30 to get 17.

$$\frac{17}{8}$$

Factor

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$