Solve 61/4+61/5=

$$6 \frac { 1 } { 4 } + 6 \frac { 1 } { 5 } =$$

Evaluate

$$\frac{249}{20}=12.45$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}+\frac{6\times 5+1}{5}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}+\frac{6\times 5+1}{5}$$

Multiply 6 and 5 to get 30.

$$\frac{25}{4}+\frac{30+1}{5}$$

Add 30 and 1 to get 31.

$$\frac{25}{4}+\frac{31}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{25}{4} and \frac{31}{5} to fractions with denominator 20.

$$\frac{125}{20}+\frac{124}{20}$$

Since \frac{125}{20} and \frac{124}{20} have the same denominator, add them by adding their numerators.

$$\frac{125+124}{20}$$

Add 125 and 124 to get 249.

$$\frac{249}{20}$$

Factor

$$\frac{3 \cdot 83}{2 ^ {2} \cdot 5} = 12\frac{9}{20} = 12.45$$