Solve 40/3-9.6

$$\frac { 40 } { 3 } - 9.6$$

Evaluate

$$\frac{56}{15}\approx 3.733333333$$

Solution Steps

Convert decimal number 9.6 to fraction \frac{96}{10}. Reduce the fraction \frac{96}{10} to lowest terms by extracting and canceling out 2.

$$\frac{40}{3}-\frac{48}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{40}{3} and \frac{48}{5} to fractions with denominator 15.

$$\frac{200}{15}-\frac{144}{15}$$

Since \frac{200}{15} and \frac{144}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200-144}{15}$$

Subtract 144 from 200 to get 56.

$$\frac{56}{15}$$

Factor

$$\frac{7 \cdot 2 ^ {3}}{3 \cdot 5} = 3\frac{11}{15} = 3.7333333333333334$$