How do you evaluate \frac { 2} { 3} + \frac { 3} { 10} + \frac { 1} { 2} ?

1 Answer
Dec 31, 2016

2/3+3/10+1/2=1 7/15

Explanation:

To simplify 2/3+3/10+1/2, we can add them if the denominators are common. Now as GCD of the denominators 3, 10 and 2 is 30

2/3+3/10+1/2

=(2/3xx1)+(3/10xx1)+(1/2xx1)

= (2xx10)/(3xx10)+(3xx3)/(10xx3)+(1xx15)/(2xx15)

= 20/30+9/30+15/30

= (20+9+15)/30

= 44/30 or (2xx22)/(2xx15) or 22/15

or (15+7)/15 or (15/15+7/15) or 1 7/15