Solve 56.5+(40-36/80-(36+21))*9

$$56.5+( \frac{ 40-36 }{ 80-(36+21) } ) \times 9$$

Evaluate

$$\frac{2671}{46}\approx 58.065217391$$

Solution Steps

Subtract 36 from 40 to get 4.

$$56.5+\frac{4}{80-\left(36+21\right)}\times 9$$

Add 36 and 21 to get 57.

$$56.5+\frac{4}{80-57}\times 9$$

Subtract 57 from 80 to get 23.

$$56.5+\frac{4}{23}\times 9$$

Express \frac{4}{23}\times 9 as a single fraction.

$$56.5+\frac{4\times 9}{23}$$

Multiply 4 and 9 to get 36.

$$56.5+\frac{36}{23}$$

Convert decimal number 56.5 to fraction \frac{565}{10}. Reduce the fraction \frac{565}{10} to lowest terms by extracting and canceling out 5.

$$\frac{113}{2}+\frac{36}{23}$$

Least common multiple of 2 and 23 is 46. Convert \frac{113}{2} and \frac{36}{23} to fractions with denominator 46.

$$\frac{2599}{46}+\frac{72}{46}$$

Since \frac{2599}{46} and \frac{72}{46} have the same denominator, add them by adding their numerators.

$$\frac{2599+72}{46}$$

Add 2599 and 72 to get 2671.

$$\frac{2671}{46}$$

Factor

$$\frac{2671}{2 \cdot 23} = 58\frac{3}{46} = 58.06521739130435$$