How do you add 1/3 + 5/12 + 4/5?

1 Answer
Apr 29, 2016

1/3+5/12+4/5=1 11/20

Explanation:

To add 1/3+5/12+4/5, firs convert all denominators to Lease Common Denominator (LCD), which is nothing but Least common multiple of 3, 12 and 5. As 3 is a factor of 12, their LCD is 12 and LCD of 12 and 5 is 12xx5=60 (as nothing is common between them. Hence LCD of 3, 12 and 5 is 60.

Hence, converting each denominator of 1/3+5/12+4/5 to LCD,

1/3+5/12+4/5 = (1xx20)/(3xx20)+(5xx5)/(12xx5)+(4xx12)/(5xx12)

= 20/60+25/60+48/60

= (20+25+48)/60=93/60=(31cancel93)/(20cancel60)=31/20=1 11/20

(We have divided 93 and 60 by 3 here to simplify.)