Solve 43/5-21/3=

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

Evaluate

$$\frac{34}{15}\approx 2.266666667$$

Solution Steps

Multiply 4 and 5 to get 20.

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

Add 20 and 3 to get 23.

$$\frac{23}{5}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{23}{5}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{23}{5}-\frac{7}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{23}{5} and \frac{7}{3} to fractions with denominator 15.

$$\frac{69}{15}-\frac{35}{15}$$

Since \frac{69}{15} and \frac{35}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{69-35}{15}$$

Subtract 35 from 69 to get 34.

$$\frac{34}{15}$$

Factor

$$\frac{2 \cdot 17}{3 \cdot 5} = 2\frac{4}{15} = 2.2666666666666666$$