Solve 31/7+23/5

$$3 \frac { 1 } { 7 } + 2 \frac { 3 } { 5 }$$

Evaluate

$$\frac{201}{35}\approx 5.742857143$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+1}{7}+\frac{2\times 5+3}{5}$$

Add 21 and 1 to get 22.

$$\frac{22}{7}+\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{22}{7}+\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{22}{7}+\frac{13}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{22}{7} and \frac{13}{5} to fractions with denominator 35.

$$\frac{110}{35}+\frac{91}{35}$$

Since \frac{110}{35} and \frac{91}{35} have the same denominator, add them by adding their numerators.

$$\frac{110+91}{35}$$

Add 110 and 91 to get 201.

$$\frac{201}{35}$$

Factor

$$\frac{3 \cdot 67}{5 \cdot 7} = 5\frac{26}{35} = 5.742857142857143$$