Solve 631/8-16.4=

$$63 \frac { 1 } { 8 } - 16.4 =$$

Evaluate

$$46.725$$

Solution Steps

Multiply 63 and 8 to get 504.

$$\frac{504+1}{8}-16.4$$

Add 504 and 1 to get 505.

$$\frac{505}{8}-16.4$$

Convert decimal number 16.4 to fraction \frac{164}{10}. Reduce the fraction \frac{164}{10} to lowest terms by extracting and canceling out 2.

$$\frac{505}{8}-\frac{82}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{505}{8} and \frac{82}{5} to fractions with denominator 40.

$$\frac{2525}{40}-\frac{656}{40}$$

Since \frac{2525}{40} and \frac{656}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2525-656}{40}$$

Subtract 656 from 2525 to get 1869.

$$\frac{1869}{40}$$

Factor

$$\frac{3 \cdot 7 \cdot 89}{5 \cdot 2 ^ {3}} = 46\frac{29}{40} = 46.725$$