Solve 164.5+(29.25-24/7)5

$$164.5+( \frac{ 29.25-24 }{ 7 } )5$$

Evaluate

$$168.25$$

Solution Steps

Subtract 24 from 29.25 to get 5.25.

$$164.5+\frac{5.25}{7}\times 5$$

Expand \frac{5.25}{7} by multiplying both numerator and the denominator by 100.

$$164.5+\frac{525}{700}\times 5$$

Reduce the fraction \frac{525}{700} to lowest terms by extracting and canceling out 175.

$$164.5+\frac{3}{4}\times 5$$

Express \frac{3}{4}\times 5 as a single fraction.

$$164.5+\frac{3\times 5}{4}$$

Multiply 3 and 5 to get 15.

$$164.5+\frac{15}{4}$$

Convert decimal number 164.5 to fraction \frac{1645}{10}. Reduce the fraction \frac{1645}{10} to lowest terms by extracting and canceling out 5.

$$\frac{329}{2}+\frac{15}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{329}{2} and \frac{15}{4} to fractions with denominator 4.

$$\frac{658}{4}+\frac{15}{4}$$

Since \frac{658}{4} and \frac{15}{4} have the same denominator, add them by adding their numerators.

$$\frac{658+15}{4}$$

Add 658 and 15 to get 673.

$$\frac{673}{4}$$

Factor

$$\frac{673}{2 ^ {2}} = 168\frac{1}{4} = 168.25$$