Solve 92/3+23/5

$$9 \frac{ 2 }{ 3 } +2 \frac{ 3 }{ 5 }$$

Evaluate

$$\frac{184}{15}\approx 12.266666667$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+2}{3}+\frac{2\times 5+3}{5}$$

Add 27 and 2 to get 29.

$$\frac{29}{3}+\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{29}{3}+\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{29}{3}+\frac{13}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{29}{3} and \frac{13}{5} to fractions with denominator 15.

$$\frac{145}{15}+\frac{39}{15}$$

Since \frac{145}{15} and \frac{39}{15} have the same denominator, add them by adding their numerators.

$$\frac{145+39}{15}$$

Add 145 and 39 to get 184.

$$\frac{184}{15}$$

Factor

$$\frac{2 ^ {3} \cdot 23}{3 \cdot 5} = 12\frac{4}{15} = 12.266666666666667$$