Solve 22/7+41/2

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

Evaluate

$$\frac{95}{14}\approx 6.785714286$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+2}{7}+\frac{4\times 2+1}{2}$$

Add 14 and 2 to get 16.

$$\frac{16}{7}+\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{16}{7}+\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{16}{7}+\frac{9}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{16}{7} and \frac{9}{2} to fractions with denominator 14.

$$\frac{32}{14}+\frac{63}{14}$$

Since \frac{32}{14} and \frac{63}{14} have the same denominator, add them by adding their numerators.

$$\frac{32+63}{14}$$

Add 32 and 63 to get 95.

$$\frac{95}{14}$$

Factor

$$\frac{5 \cdot 19}{2 \cdot 7} = 6\frac{11}{14} = 6.785714285714286$$