Solve 44/5-12/3=

$$4 \frac { 4 } { 5 } - 1 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{47}{15}\approx 3.133333333$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+4}{5}-\frac{1\times 3+2}{3}$$

Add 20 and 4 to get 24.

$$\frac{24}{5}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{24}{5}-\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{24}{5}-\frac{5}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{24}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{72}{15}-\frac{25}{15}$$

Since \frac{72}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-25}{15}$$

Subtract 25 from 72 to get 47.

$$\frac{47}{15}$$

Factor

$$\frac{47}{3 \cdot 5} = 3\frac{2}{15} = 3.1333333333333333$$