Solve 1.2-1/8

$$1.2 - \frac { 1 } { 8 }$$

Evaluate

$$1.075$$

Solution Steps

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}-\frac{1}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{6}{5} and \frac{1}{8} to fractions with denominator 40.

$$\frac{48}{40}-\frac{5}{40}$$

Since \frac{48}{40} and \frac{5}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-5}{40}$$

Subtract 5 from 48 to get 43.

$$\frac{43}{40}$$

Factor

$$\frac{43}{5 \cdot 2 ^ {3}} = 1\frac{3}{40} = 1.075$$