Solve 85.5+[30-21/11]5

$$85.5 + [ \frac { 30 - 21 } { 11 } ] 5$$

Evaluate

$$\frac{1971}{22}\approx 89.590909091$$

Solution Steps

Subtract 21 from 30 to get 9.

$$85.5+\frac{9}{11}\times 5$$

Express \frac{9}{11}\times 5 as a single fraction.

$$85.5+\frac{9\times 5}{11}$$

Multiply 9 and 5 to get 45.

$$85.5+\frac{45}{11}$$

Convert decimal number 85.5 to fraction \frac{855}{10}. Reduce the fraction \frac{855}{10} to lowest terms by extracting and canceling out 5.

$$\frac{171}{2}+\frac{45}{11}$$

Least common multiple of 2 and 11 is 22. Convert \frac{171}{2} and \frac{45}{11} to fractions with denominator 22.

$$\frac{1881}{22}+\frac{90}{22}$$

Since \frac{1881}{22} and \frac{90}{22} have the same denominator, add them by adding their numerators.

$$\frac{1881+90}{22}$$

Add 1881 and 90 to get 1971.

$$\frac{1971}{22}$$

Factor

$$\frac{73 \cdot 3 ^ {3}}{2 \cdot 11} = 89\frac{13}{22} = 89.5909090909091$$