Solve 47.5+(5-3/5)3

$$47.5+( \frac{ 5-3 }{ 5 } )3$$

Evaluate

$$48.7$$

Solution Steps

Subtract 3 from 5 to get 2.

$$47.5+\frac{2}{5}\times 3$$

Express \frac{2}{5}\times 3 as a single fraction.

$$47.5+\frac{2\times 3}{5}$$

Multiply 2 and 3 to get 6.

$$47.5+\frac{6}{5}$$

Convert decimal number 47.5 to fraction \frac{475}{10}. Reduce the fraction \frac{475}{10} to lowest terms by extracting and canceling out 5.

$$\frac{95}{2}+\frac{6}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{95}{2} and \frac{6}{5} to fractions with denominator 10.

$$\frac{475}{10}+\frac{12}{10}$$

Since \frac{475}{10} and \frac{12}{10} have the same denominator, add them by adding their numerators.

$$\frac{475+12}{10}$$

Add 475 and 12 to get 487.

$$\frac{487}{10}$$

Factor

$$\frac{487}{2 \cdot 5} = 48\frac{7}{10} = 48.7$$