Solve 255/8+272/5

$$25 \frac{ 5 }{ 8 } +27 \frac{ 2 }{ 5 }$$

Evaluate

$$\frac{2121}{40}=53.025$$

Solution Steps

Multiply 25 and 8 to get 200.

$$\frac{200+5}{8}+\frac{27\times 5+2}{5}$$

Add 200 and 5 to get 205.

$$\frac{205}{8}+\frac{27\times 5+2}{5}$$

Multiply 27 and 5 to get 135.

$$\frac{205}{8}+\frac{135+2}{5}$$

Add 135 and 2 to get 137.

$$\frac{205}{8}+\frac{137}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{205}{8} and \frac{137}{5} to fractions with denominator 40.

$$\frac{1025}{40}+\frac{1096}{40}$$

Since \frac{1025}{40} and \frac{1096}{40} have the same denominator, add them by adding their numerators.

$$\frac{1025+1096}{40}$$

Add 1025 and 1096 to get 2121.

$$\frac{2121}{40}$$

Factor

$$\frac{3 \cdot 7 \cdot 101}{2 ^ {3} \cdot 5} = 53\frac{1}{40} = 53.025$$