Solve 52/8+24/10=

$$5 \frac { 2 } { 8 } + 2 \frac { 4 } { 10 } =$$

Evaluate

$$\frac{153}{20}=7.65$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+2}{8}+\frac{2\times 10+4}{10}$$

Add 40 and 2 to get 42.

$$\frac{42}{8}+\frac{2\times 10+4}{10}$$

Reduce the fraction \frac{42}{8} to lowest terms by extracting and canceling out 2.

$$\frac{21}{4}+\frac{2\times 10+4}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{21}{4}+\frac{20+4}{10}$$

Add 20 and 4 to get 24.

$$\frac{21}{4}+\frac{24}{10}$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{21}{4}+\frac{12}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{21}{4} and \frac{12}{5} to fractions with denominator 20.

$$\frac{105}{20}+\frac{48}{20}$$

Since \frac{105}{20} and \frac{48}{20} have the same denominator, add them by adding their numerators.

$$\frac{105+48}{20}$$

Add 105 and 48 to get 153.

$$\frac{153}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 17}{2 ^ {2} \cdot 5} = 7\frac{13}{20} = 7.65$$