Solve 51/2+23/10

$$5 \frac { 1 } { 2 } + 2 \frac { 3 } { 10 }$$

Evaluate

$$\frac{39}{5}=7.8$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}+\frac{2\times 10+3}{10}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}+\frac{2\times 10+3}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{11}{2}+\frac{20+3}{10}$$

Add 20 and 3 to get 23.

$$\frac{11}{2}+\frac{23}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{11}{2} and \frac{23}{10} to fractions with denominator 10.

$$\frac{55}{10}+\frac{23}{10}$$

Since \frac{55}{10} and \frac{23}{10} have the same denominator, add them by adding their numerators.

$$\frac{55+23}{10}$$

Add 55 and 23 to get 78.

$$\frac{78}{10}$$

Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.

$$\frac{39}{5}$$

Factor

$$\frac{3 \cdot 13}{5} = 7\frac{4}{5} = 7.8$$