Solve 17.5+(4.5/6)3

$$17.5+( \frac{ 4.5 }{ 6 } )3$$

Evaluate

$$19.75$$

Solution Steps

Expand \frac{4.5}{6} by multiplying both numerator and the denominator by 10.

$$17.5+\frac{45}{60}\times 3$$

Reduce the fraction \frac{45}{60} to lowest terms by extracting and canceling out 15.

$$17.5+\frac{3}{4}\times 3$$

Express \frac{3}{4}\times 3 as a single fraction.

$$17.5+\frac{3\times 3}{4}$$

Multiply 3 and 3 to get 9.

$$17.5+\frac{9}{4}$$

Convert decimal number 17.5 to fraction \frac{175}{10}. Reduce the fraction \frac{175}{10} to lowest terms by extracting and canceling out 5.

$$\frac{35}{2}+\frac{9}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{35}{2} and \frac{9}{4} to fractions with denominator 4.

$$\frac{70}{4}+\frac{9}{4}$$

Since \frac{70}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{70+9}{4}$$

Add 70 and 9 to get 79.

$$\frac{79}{4}$$

Factor

$$\frac{79}{2 ^ {2}} = 19\frac{3}{4} = 19.75$$