Solve 1/20,875-1/162

$$\frac { 1 } { 2 } 0,875 - \frac { 1 } { 16 } 2$$

Evaluate

$$0,3125$$

Solution Steps

Convert decimal number 0,875 to fraction \frac{875}{1000}. Reduce the fraction \frac{875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{1}{2}\times \frac{7}{8}-\frac{1}{16}\times 2$$

Multiply \frac{1}{2} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{2\times 8}-\frac{1}{16}\times 2$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 8}.

$$\frac{7}{16}-\frac{1}{16}\times 2$$

Multiply \frac{1}{16} and 2 to get \frac{2}{16}.

$$\frac{7}{16}-\frac{2}{16}$$

Since \frac{7}{16} and \frac{2}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-2}{16}$$

Subtract 2 from 7 to get 5.

$$\frac{5}{16}$$

Factor

$$\frac{5}{2 ^ {4}} = 0.3125$$