Solve 63/5+44/3

$$6 \frac { 3 } { 5 } + 4 \frac { 4 } { 3 }$$

Evaluate

$$\frac{179}{15}\approx 11.933333333$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+3}{5}+\frac{4\times 3+4}{3}$$

Add 30 and 3 to get 33.

$$\frac{33}{5}+\frac{4\times 3+4}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{33}{5}+\frac{12+4}{3}$$

Add 12 and 4 to get 16.

$$\frac{33}{5}+\frac{16}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{33}{5} and \frac{16}{3} to fractions with denominator 15.

$$\frac{99}{15}+\frac{80}{15}$$

Since \frac{99}{15} and \frac{80}{15} have the same denominator, add them by adding their numerators.

$$\frac{99+80}{15}$$

Add 99 and 80 to get 179.

$$\frac{179}{15}$$

Factor

$$\frac{179}{3 \cdot 5} = 11\frac{14}{15} = 11.933333333333334$$