Solve 62/4+62/5=

$$6 \frac { 2 } { 4 } + 6 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{129}{10}=12.9$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+2}{4}+\frac{6\times 5+2}{5}$$

Add 24 and 2 to get 26.

$$\frac{26}{4}+\frac{6\times 5+2}{5}$$

Reduce the fraction \frac{26}{4} to lowest terms by extracting and canceling out 2.

$$\frac{13}{2}+\frac{6\times 5+2}{5}$$

Multiply 6 and 5 to get 30.

$$\frac{13}{2}+\frac{30+2}{5}$$

Add 30 and 2 to get 32.

$$\frac{13}{2}+\frac{32}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{13}{2} and \frac{32}{5} to fractions with denominator 10.

$$\frac{65}{10}+\frac{64}{10}$$

Since \frac{65}{10} and \frac{64}{10} have the same denominator, add them by adding their numerators.

$$\frac{65+64}{10}$$

Add 65 and 64 to get 129.

$$\frac{129}{10}$$

Factor

$$\frac{3 \cdot 43}{2 \cdot 5} = 12\frac{9}{10} = 12.9$$