Solve 31/4+22/7

$$3 \frac{ 1 }{ 4 } +2 \frac{ 2 }{ 7 }$$

Evaluate

$$\frac{155}{28}\approx 5.535714286$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}+\frac{2\times 7+2}{7}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}+\frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{13}{4}+\frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{13}{4}+\frac{16}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{13}{4} and \frac{16}{7} to fractions with denominator 28.

$$\frac{91}{28}+\frac{64}{28}$$

Since \frac{91}{28} and \frac{64}{28} have the same denominator, add them by adding their numerators.

$$\frac{91+64}{28}$$

Add 91 and 64 to get 155.

$$\frac{155}{28}$$

Factor

$$\frac{5 \cdot 31}{2 ^ {2} \cdot 7} = 5\frac{15}{28} = 5.535714285714286$$