Solve 3/20+2/15=9+8/60=17/60

$$\frac { 3 } { 20 } + \frac { 2 } { 15 } = \frac { 9 + 8 } { 60 } = \frac { 17 } { 60 }$$

Verify

Solution Steps

Least common multiple of 20 and 15 is 60. Convert \frac{3}{20} and \frac{2}{15} to fractions with denominator 60.

$$\frac{9}{60}+\frac{8}{60}=\frac{9+8}{60}\text{ and }\frac{9+8}{60}=\frac{17}{60}$$

Since \frac{9}{60} and \frac{8}{60} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{60}=\frac{9+8}{60}\text{ and }\frac{9+8}{60}=\frac{17}{60}$$

Add 9 and 8 to get 17.

$$\frac{17}{60}=\frac{9+8}{60}\text{ and }\frac{9+8}{60}=\frac{17}{60}$$

Add 9 and 8 to get 17.

$$\frac{17}{60}=\frac{17}{60}\text{ and }\frac{9+8}{60}=\frac{17}{60}$$

Compare \frac{17}{60} and \frac{17}{60}.

$$\text{true}\text{ and }\frac{9+8}{60}=\frac{17}{60}$$

Add 9 and 8 to get 17.

$$\text{true}\text{ and }\frac{17}{60}=\frac{17}{60}$$

Compare \frac{17}{60} and \frac{17}{60}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$