Solve 41/2+32/7

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

Evaluate

$$\frac{109}{14}\approx 7.785714286$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}+\frac{3\times 7+2}{7}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}+\frac{3\times 7+2}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{9}{2}+\frac{21+2}{7}$$

Add 21 and 2 to get 23.

$$\frac{9}{2}+\frac{23}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{9}{2} and \frac{23}{7} to fractions with denominator 14.

$$\frac{63}{14}+\frac{46}{14}$$

Since \frac{63}{14} and \frac{46}{14} have the same denominator, add them by adding their numerators.

$$\frac{63+46}{14}$$

Add 63 and 46 to get 109.

$$\frac{109}{14}$$

Factor

$$\frac{109}{2 \cdot 7} = 7\frac{11}{14} = 7.785714285714286$$