Solve 44/7+41/2

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

Evaluate

$$\frac{127}{14}\approx 9.071428571$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+4}{7}+\frac{4\times 2+1}{2}$$

Add 28 and 4 to get 32.

$$\frac{32}{7}+\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{32}{7}+\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{32}{7}+\frac{9}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{32}{7} and \frac{9}{2} to fractions with denominator 14.

$$\frac{64}{14}+\frac{63}{14}$$

Since \frac{64}{14} and \frac{63}{14} have the same denominator, add them by adding their numerators.

$$\frac{64+63}{14}$$

Add 64 and 63 to get 127.

$$\frac{127}{14}$$

Factor

$$\frac{127}{2 \cdot 7} = 9\frac{1}{14} = 9.071428571428571$$