Solve 99/10+23/5=

$$9 \frac { 9 } { 10 } + 2 \frac { 3 } { 5 } =$$

Evaluate

$$\frac{25}{2}=12.5$$

Solution Steps

Multiply 9 and 10 to get 90.

$$\frac{90+9}{10}+\frac{2\times 5+3}{5}$$

Add 90 and 9 to get 99.

$$\frac{99}{10}+\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{99}{10}+\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{99}{10}+\frac{13}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{99}{10} and \frac{13}{5} to fractions with denominator 10.

$$\frac{99}{10}+\frac{26}{10}$$

Since \frac{99}{10} and \frac{26}{10} have the same denominator, add them by adding their numerators.

$$\frac{99+26}{10}$$

Add 99 and 26 to get 125.

$$\frac{125}{10}$$

Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{25}{2}$$

Factor

$$\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5$$