Solve 113/9+4/3

$$1 \frac { 13 } { 9 } + \frac { 4 } { 3 }$$

Evaluate

$$\frac{34}{9}\approx 3.777777778$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+13}{9}+\frac{4}{3}$$

Add 9 and 13 to get 22.

$$\frac{22}{9}+\frac{4}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{22}{9} and \frac{4}{3} to fractions with denominator 9.

$$\frac{22}{9}+\frac{12}{9}$$

Since \frac{22}{9} and \frac{12}{9} have the same denominator, add them by adding their numerators.

$$\frac{22+12}{9}$$

Add 22 and 12 to get 34.

$$\frac{34}{9}$$

Factor

$$\frac{2 \cdot 17}{3 ^ {2}} = 3\frac{7}{9} = 3.7777777777777777$$