45,219 views
42 votes
42 votes
Show 9/12 as the sum of unit fractions

User Nightwill
by
2.5k points

2 Answers

25 votes
25 votes

Answer:

1/4 +1/4 +1/4

or add 1/12 9 times

Explanation:

9/12

try to find the greatest common factor of both the numerator and denominator.

(a number that you can divide both the top number and bottom number with)

in this case, the greatest common factor is 3. once you divide the numerator and denominator by 3, it leaves you with a fraction 3/4

you can add 1/4 3 times to get 9/12

1/4 +1/4+1/4

or you could just add 1/12 9 times

User Merc
by
3.1k points
11 votes
11 votes


\cfrac{9}{12}\implies \cfrac{1+1+1+1+1+1+1+1+1}{12} \\\\\\ \cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}

User Laurabeth
by
2.8k points