Solve 1.5-6/16

$$1.5- \frac{ 6 }{ 16 }$$

Evaluate

$$1.125$$

Solution Steps

Reduce the fraction \frac{6}{16} to lowest terms by extracting and canceling out 2.

$$1.5-\frac{3}{8}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}-\frac{3}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{3}{2} and \frac{3}{8} to fractions with denominator 8.

$$\frac{12}{8}-\frac{3}{8}$$

Since \frac{12}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-3}{8}$$

Subtract 3 from 12 to get 9.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$