Solve -4+41/3+21/5

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

Evaluate

$$\frac{38}{15}\approx 2.533333333$$

Solution Steps

Multiply 4 and 3 to get 12.

$$-4+\frac{12+1}{3}+\frac{2\times 5+1}{5}$$

Add 12 and 1 to get 13.

$$-4+\frac{13}{3}+\frac{2\times 5+1}{5}$$

Convert -4 to fraction -\frac{12}{3}.

$$-\frac{12}{3}+\frac{13}{3}+\frac{2\times 5+1}{5}$$

Since -\frac{12}{3} and \frac{13}{3} have the same denominator, add them by adding their numerators.

$$\frac{-12+13}{3}+\frac{2\times 5+1}{5}$$

Add -12 and 13 to get 1.

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

Multiply 2 and 5 to get 10.

$$\frac{1}{3}+\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$\frac{1}{3}+\frac{11}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{11}{5} to fractions with denominator 15.

$$\frac{5}{15}+\frac{33}{15}$$

Since \frac{5}{15} and \frac{33}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+33}{15}$$

Add 5 and 33 to get 38.

$$\frac{38}{15}$$

Factor

$$\frac{2 \cdot 19}{3 \cdot 5} = 2\frac{8}{15} = 2.533333333333333$$