Solve 72/3+21/5

$$7 \frac { 2 } { 3 } + 2 \frac { 1 } { 5 }$$

Evaluate

$$\frac{148}{15}\approx 9.866666667$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+2}{3}+\frac{2\times 5+1}{5}$$

Add 21 and 2 to get 23.

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

Multiply 2 and 5 to get 10.

$$\frac{23}{3}+\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$\frac{23}{3}+\frac{11}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{23}{3} and \frac{11}{5} to fractions with denominator 15.

$$\frac{115}{15}+\frac{33}{15}$$

Since \frac{115}{15} and \frac{33}{15} have the same denominator, add them by adding their numerators.

$$\frac{115+33}{15}$$

Add 115 and 33 to get 148.

$$\frac{148}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 37}{3 \cdot 5} = 9\frac{13}{15} = 9.866666666666667$$