Solve -21/3+43/5=

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

Evaluate

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

Solution Steps

Multiply 2 and 3 to get 6.

$$-\frac{6+1}{3}+\frac{4\times 5+3}{5}$$

Add 6 and 1 to get 7.

$$-\frac{7}{3}+\frac{4\times 5+3}{5}$$

Multiply 4 and 5 to get 20.

$$-\frac{7}{3}+\frac{20+3}{5}$$

Add 20 and 3 to get 23.

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

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

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

Since -\frac{35}{15} and \frac{69}{15} have the same denominator, add them by adding their numerators.

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

Add -35 and 69 to get 34.

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

Factor

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