Solve 121/99+155/99*5

$$\frac { 121 } { 99 } + \frac { 155 } { 99 } \cdot 5$$

Evaluate

$$\frac{896}{99}\approx 9.050505051$$

Solution Steps

Reduce the fraction \frac{121}{99} to lowest terms by extracting and canceling out 11.

$$\frac{11}{9}+\frac{155}{99}\times 5$$

Express \frac{155}{99}\times 5 as a single fraction.

$$\frac{11}{9}+\frac{155\times 5}{99}$$

Multiply 155 and 5 to get 775.

$$\frac{11}{9}+\frac{775}{99}$$

Least common multiple of 9 and 99 is 99. Convert \frac{11}{9} and \frac{775}{99} to fractions with denominator 99.

$$\frac{121}{99}+\frac{775}{99}$$

Since \frac{121}{99} and \frac{775}{99} have the same denominator, add them by adding their numerators.

$$\frac{121+775}{99}$$

Add 121 and 775 to get 896.

$$\frac{896}{99}$$

Factor

$$\frac{2 ^ {7} \cdot 7}{3 ^ {2} \cdot 11} = 9\frac{5}{99} = 9.05050505050505$$