Solve 43/5+87/10

$$4 \frac { 3 } { 5 } + 8 \frac { 7 } { 10 }$$

Evaluate

$$\frac{133}{10}=13.3$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+3}{5}+\frac{8\times 10+7}{10}$$

Add 20 and 3 to get 23.

$$\frac{23}{5}+\frac{8\times 10+7}{10}$$

Multiply 8 and 10 to get 80.

$$\frac{23}{5}+\frac{80+7}{10}$$

Add 80 and 7 to get 87.

$$\frac{23}{5}+\frac{87}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{23}{5} and \frac{87}{10} to fractions with denominator 10.

$$\frac{46}{10}+\frac{87}{10}$$

Since \frac{46}{10} and \frac{87}{10} have the same denominator, add them by adding their numerators.

$$\frac{46+87}{10}$$

Add 46 and 87 to get 133.

$$\frac{133}{10}$$

Factor

$$\frac{7 \cdot 19}{2 \cdot 5} = 13\frac{3}{10} = 13.3$$