Solve 33/4-5/16

$$3 \frac { 3 } { 4 } - \frac { 5 } { 16 }$$

Evaluate

$$\frac{55}{16}=3.4375$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}-\frac{5}{16}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}-\frac{5}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{15}{4} and \frac{5}{16} to fractions with denominator 16.

$$\frac{60}{16}-\frac{5}{16}$$

Since \frac{60}{16} and \frac{5}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-5}{16}$$

Subtract 5 from 60 to get 55.

$$\frac{55}{16}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {4}} = 3\frac{7}{16} = 3.4375$$