Solve =54.5+[100/2-28/93]5

$$= 54.5 + [ \frac { \frac { 100 } { 2 } - 28 } { 93 } ] 5$$

Evaluate

$$\frac{10357}{186}\approx 55.682795699$$

Solution Steps

Divide 100 by 2 to get 50.

$$54.5+\frac{50-28}{93}\times 5$$

Subtract 28 from 50 to get 22.

$$54.5+\frac{22}{93}\times 5$$

Express \frac{22}{93}\times 5 as a single fraction.

$$54.5+\frac{22\times 5}{93}$$

Multiply 22 and 5 to get 110.

$$54.5+\frac{110}{93}$$

Convert decimal number 54.5 to fraction \frac{545}{10}. Reduce the fraction \frac{545}{10} to lowest terms by extracting and canceling out 5.

$$\frac{109}{2}+\frac{110}{93}$$

Least common multiple of 2 and 93 is 186. Convert \frac{109}{2} and \frac{110}{93} to fractions with denominator 186.

$$\frac{10137}{186}+\frac{220}{186}$$

Since \frac{10137}{186} and \frac{220}{186} have the same denominator, add them by adding their numerators.

$$\frac{10137+220}{186}$$

Add 10137 and 220 to get 10357.

$$\frac{10357}{186}$$

Factor

$$\frac{10357}{2 \cdot 3 \cdot 31} = 55\frac{127}{186} = 55.68279569892473$$