Solve 311/5+181/7

$$31 \frac { 1 } { 5 } + 18 \frac { 1 } { 7 }$$

Evaluate

$$\frac{1727}{35}\approx 49.342857143$$

Solution Steps

Multiply 31 and 5 to get 155.

$$\frac{155+1}{5}+\frac{18\times 7+1}{7}$$

Add 155 and 1 to get 156.

$$\frac{156}{5}+\frac{18\times 7+1}{7}$$

Multiply 18 and 7 to get 126.

$$\frac{156}{5}+\frac{126+1}{7}$$

Add 126 and 1 to get 127.

$$\frac{156}{5}+\frac{127}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{156}{5} and \frac{127}{7} to fractions with denominator 35.

$$\frac{1092}{35}+\frac{635}{35}$$

Since \frac{1092}{35} and \frac{635}{35} have the same denominator, add them by adding their numerators.

$$\frac{1092+635}{35}$$

Add 1092 and 635 to get 1727.

$$\frac{1727}{35}$$

Factor

$$\frac{11 \cdot 157}{5 \cdot 7} = 49\frac{12}{35} = 49.34285714285714$$