Solve 625-(4.4+75/8)

$$625 - ( 4.4 + 7 \frac { 5 } { 8 } )$$

Evaluate

$$612.975$$

Solution Steps

Multiply 7 and 8 to get 56.

$$625-\left(4.4+\frac{56+5}{8}\right)$$

Add 56 and 5 to get 61.

$$625-\left(4.4+\frac{61}{8}\right)$$

Convert decimal number 4.4 to fraction \frac{44}{10}. Reduce the fraction \frac{44}{10} to lowest terms by extracting and canceling out 2.

$$625-\left(\frac{22}{5}+\frac{61}{8}\right)$$

Least common multiple of 5 and 8 is 40. Convert \frac{22}{5} and \frac{61}{8} to fractions with denominator 40.

$$625-\left(\frac{176}{40}+\frac{305}{40}\right)$$

Since \frac{176}{40} and \frac{305}{40} have the same denominator, add them by adding their numerators.

$$625-\frac{176+305}{40}$$

Add 176 and 305 to get 481.

$$625-\frac{481}{40}$$

Convert 625 to fraction \frac{25000}{40}.

$$\frac{25000}{40}-\frac{481}{40}$$

Since \frac{25000}{40} and \frac{481}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25000-481}{40}$$

Subtract 481 from 25000 to get 24519.

$$\frac{24519}{40}$$

Factor

$$\frac{3 \cdot 11 \cdot 743}{5 \cdot 2 ^ {3}} = 612\frac{39}{40} = 612.975$$