Solve 29/36+17/45

$$\frac { 29 } { 36 } + \frac { 17 } { 45 }$$

Evaluate

$$\frac{71}{60}\approx 1.183333333$$

Solution Steps

Least common multiple of 36 and 45 is 180. Convert \frac{29}{36} and \frac{17}{45} to fractions with denominator 180.

$$\frac{145}{180}+\frac{68}{180}$$

Since \frac{145}{180} and \frac{68}{180} have the same denominator, add them by adding their numerators.

$$\frac{145+68}{180}$$

Add 145 and 68 to get 213.

$$\frac{213}{180}$$

Reduce the fraction \frac{213}{180} to lowest terms by extracting and canceling out 3.

$$\frac{71}{60}$$

Factor

$$\frac{71}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{11}{60} = 1.1833333333333333$$