Solve 56/8+44/5=

$$5 \frac { 6 } { 8 } + 4 \frac { 4 } { 5 } =$$

Evaluate

$$\frac{211}{20}=10.55$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+6}{8}+\frac{4\times 5+4}{5}$$

Add 40 and 6 to get 46.

$$\frac{46}{8}+\frac{4\times 5+4}{5}$$

Reduce the fraction \frac{46}{8} to lowest terms by extracting and canceling out 2.

$$\frac{23}{4}+\frac{4\times 5+4}{5}$$

Multiply 4 and 5 to get 20.

$$\frac{23}{4}+\frac{20+4}{5}$$

Add 20 and 4 to get 24.

$$\frac{23}{4}+\frac{24}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{23}{4} and \frac{24}{5} to fractions with denominator 20.

$$\frac{115}{20}+\frac{96}{20}$$

Since \frac{115}{20} and \frac{96}{20} have the same denominator, add them by adding their numerators.

$$\frac{115+96}{20}$$

Add 115 and 96 to get 211.

$$\frac{211}{20}$$

Factor

$$\frac{211}{2 ^ {2} \cdot 5} = 10\frac{11}{20} = 10.55$$