Solve 42/3-24/5=

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

Evaluate

$$\frac{28}{15}\approx 1.866666667$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}-\frac{2\times 5+4}{5}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}-\frac{2\times 5+4}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{14}{3}-\frac{10+4}{5}$$

Add 10 and 4 to get 14.

$$\frac{14}{3}-\frac{14}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{14}{3} and \frac{14}{5} to fractions with denominator 15.

$$\frac{70}{15}-\frac{42}{15}$$

Since \frac{70}{15} and \frac{42}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70-42}{15}$$

Subtract 42 from 70 to get 28.

$$\frac{28}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 \cdot 5} = 1\frac{13}{15} = 1.8666666666666667$$