Solve 18/7*4/9+15/14

$$\frac { 18 } { 7 } \cdot \frac { 4 } { 9 } + \frac { 15 } { 14 }$$

Evaluate

$$\frac{31}{14}\approx 2.214285714$$

Solution Steps

Multiply \frac{18}{7} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 4}{7\times 9}+\frac{15}{14}$$

Do the multiplications in the fraction \frac{18\times 4}{7\times 9}.

$$\frac{72}{63}+\frac{15}{14}$$

Reduce the fraction \frac{72}{63} to lowest terms by extracting and canceling out 9.

$$\frac{8}{7}+\frac{15}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{8}{7} and \frac{15}{14} to fractions with denominator 14.

$$\frac{16}{14}+\frac{15}{14}$$

Since \frac{16}{14} and \frac{15}{14} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{14}$$

Add 16 and 15 to get 31.

$$\frac{31}{14}$$

Factor

$$\frac{31}{2 \cdot 7} = 2\frac{3}{14} = 2.2142857142857144$$