Solve 5/2+9/7*9/3

$$\frac { 5 } { 2 } + \frac { 9 } { 7 } \times \frac { 9 } { 3 }$$

Evaluate

$$\frac{89}{14}\approx 6.357142857$$

Solution Steps

Divide 9 by 3 to get 3.

$$\frac{5}{2}+\frac{9}{7}\times 3$$

Express \frac{9}{7}\times 3 as a single fraction.

$$\frac{5}{2}+\frac{9\times 3}{7}$$

Multiply 9 and 3 to get 27.

$$\frac{5}{2}+\frac{27}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{5}{2} and \frac{27}{7} to fractions with denominator 14.

$$\frac{35}{14}+\frac{54}{14}$$

Since \frac{35}{14} and \frac{54}{14} have the same denominator, add them by adding their numerators.

$$\frac{35+54}{14}$$

Add 35 and 54 to get 89.

$$\frac{89}{14}$$

Factor

$$\frac{89}{2 \cdot 7} = 6\frac{5}{14} = 6.357142857142857$$