Solve 17.625-left(4.4+75/8right)3

$$17.625- \left( 4.4+7 \frac{ 5 }{ 8 } \right) 3$$

Evaluate

$$-18.45$$

Solution Steps

Multiply 7 and 8 to get 56.

$$17.625-\left(4.4+\frac{56+5}{8}\right)\times 3$$

Add 56 and 5 to get 61.

$$17.625-\left(4.4+\frac{61}{8}\right)\times 3$$

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.

$$17.625-\left(\frac{22}{5}+\frac{61}{8}\right)\times 3$$

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

$$17.625-\left(\frac{176}{40}+\frac{305}{40}\right)\times 3$$

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

$$17.625-\frac{176+305}{40}\times 3$$

Add 176 and 305 to get 481.

$$17.625-\frac{481}{40}\times 3$$

Express \frac{481}{40}\times 3 as a single fraction.

$$17.625-\frac{481\times 3}{40}$$

Multiply 481 and 3 to get 1443.

$$17.625-\frac{1443}{40}$$

Convert decimal number 17.625 to fraction \frac{17625}{1000}. Reduce the fraction \frac{17625}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{141}{8}-\frac{1443}{40}$$

Least common multiple of 8 and 40 is 40. Convert \frac{141}{8} and \frac{1443}{40} to fractions with denominator 40.

$$\frac{705}{40}-\frac{1443}{40}$$

Since \frac{705}{40} and \frac{1443}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{705-1443}{40}$$

Subtract 1443 from 705 to get -738.

$$\frac{-738}{40}$$

Reduce the fraction \frac{-738}{40} to lowest terms by extracting and canceling out 2.

$$-\frac{369}{20}$$

Factor

$$-18.45$$