Solve 44/7+1/5+1/10

$$4 \frac { 4 } { 7 } + \frac { 1 } { 5 } + \frac { 1 } { 10 }$$

Evaluate

$$\frac{341}{70}\approx 4.871428571$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+4}{7}+\frac{1}{5}+\frac{1}{10}$$

Add 28 and 4 to get 32.

$$\frac{32}{7}+\frac{1}{5}+\frac{1}{10}$$

Least common multiple of 7 and 5 is 35. Convert \frac{32}{7} and \frac{1}{5} to fractions with denominator 35.

$$\frac{160}{35}+\frac{7}{35}+\frac{1}{10}$$

Since \frac{160}{35} and \frac{7}{35} have the same denominator, add them by adding their numerators.

$$\frac{160+7}{35}+\frac{1}{10}$$

Add 160 and 7 to get 167.

$$\frac{167}{35}+\frac{1}{10}$$

Least common multiple of 35 and 10 is 70. Convert \frac{167}{35} and \frac{1}{10} to fractions with denominator 70.

$$\frac{334}{70}+\frac{7}{70}$$

Since \frac{334}{70} and \frac{7}{70} have the same denominator, add them by adding their numerators.

$$\frac{334+7}{70}$$

Add 334 and 7 to get 341.

$$\frac{341}{70}$$

Factor

$$\frac{11 \cdot 31}{2 \cdot 5 \cdot 7} = 4\frac{61}{70} = 4.871428571428571$$