Solve 42/5+31/4

$$4 \frac{ 2 }{ 5 } +3 \frac{ 1 }{ 4 }$$

Evaluate

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

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+2}{5}+\frac{3\times 4+1}{4}$$

Add 20 and 2 to get 22.

$$\frac{22}{5}+\frac{3\times 4+1}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{22}{5}+\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{22}{5}+\frac{13}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{22}{5} and \frac{13}{4} to fractions with denominator 20.

$$\frac{88}{20}+\frac{65}{20}$$

Since \frac{88}{20} and \frac{65}{20} have the same denominator, add them by adding their numerators.

$$\frac{88+65}{20}$$

Add 88 and 65 to get 153.

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

Factor

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