Solve 45/8-11/4

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

Evaluate

$$\frac{27}{8}=3.375$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+5}{8}-\frac{1\times 4+1}{4}$$

Add 32 and 5 to get 37.

$$\frac{37}{8}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{37}{8}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{37}{8}-\frac{5}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{37}{8} and \frac{5}{4} to fractions with denominator 8.

$$\frac{37}{8}-\frac{10}{8}$$

Since \frac{37}{8} and \frac{10}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-10}{8}$$

Subtract 10 from 37 to get 27.

$$\frac{27}{8}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$