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Scott bought a large bag of cookies at the bakery. He ate 1/5 of a bag and his sister ate
2/7 of a bag.

What fraction of the bag did they eat?

What fraction of the bag remains?

User Tirrel
by
2.7k points

2 Answers

11 votes
11 votes

Answer:

17/35, 18/35

Explanation:

Find the common denominator to add those fractions together.

5 x 7 = 35 so the common denominator is 35. 1 x 7 is 7 so 1/5 is 7/35. 2 x 5 is 10 so 2/7 is 10/35.

10/35 + 7/35 = 17/35

They ate 17/35.

35/35 - 17/35 = 18/35

18/35 remains.

User Usman Arshad
by
3.1k points
7 votes
7 votes

To solve this problem, simply add the fractions!

To add fractions, you must follow a rule called the Common Denominator Rule. Unlike multiplication and division of fractions, wehre the denominator can be a different number, you must convert your denominators to the same number in order to subtract or add fractions.

A common factor of
(1)/(5) and
(2)/(7) is 35 as 5 ×7 = 35

Multiply the numerator and denominator of 1/5 by 7:
((1)(7))/((5)(7))= (7)/(35)

Multiply the numerator and denominator of 2/7 by 5:
((2)(5))/((7)(5)) =(10)/(35)

Now add
(7)/(35) + (10)/(35) =
(17)/(35) : They ate
(17)/(35) of the bag

To find what fraction of the bag remains, subtract what they ate from 1.

*1 can also be written as
(35)/(35)*


(35)/(35) -(17)/(35) = (18)/(35)

18/35 of the bag remains

User Kronn
by
2.8k points