Fraction TOTD 11.22

What is the difference 3/4 -2/3?

• 3/8

• 1/12

• 2/5

• 5/7

Answer explanation

To subtract fractions, find a common denominator. The common denominator of 4 and 3 is 12. Subtract the numerators: 9 - 8 = 1. The answer is 1/12, which matches the correct choice.

• Less than 1

• More than 1

• Close to 1/2

• Less than 1/2

Answer explanation

The estimate “More than 1” is reasonable because adding fractions ⅓ and ⅕ results in a value greater than 1.

• More than 1

• Less than 1

• Close to 1/2

• Close to zero

Answer explanation

The sum of 1/8 and 3/12 is close to 1/2, which is a reasonable choice.

There is 7/8 of a pie left. If I eat 3/10 of the remaining pie, how much will be left?

• 4/2

• 10/18

• 23/40

• 47/40

Answer explanation

If 7/8 of a pie is left and I eat 3/10 of the remaining pie, 23/40 will be left. This is the correct choice.

Pamela had 1/2 of a chocolate bar, and she ate 1/4 of it. How much of the chocolate bar does she have left?

• 1/2

• 1/4

• 2/6

• 3/4

Answer explanation

Marjorie had 1/2 of a chocolate bar and ate 1/4. She has 1/4 left, which is the correct choice.

 A rope is 7/8 meter long. If you cut off 2/3 of the rope, how much will be left?

• 5/24

• 5/5

• 9/11

• 15/24

Answer explanation

If you cut off 2/3 of a 7/8 meter rope, you will be left with 5/24 meter. This is the correct choice.

Emily brought 3/4

of a gallon of iced tea to the party. Anita brought 7/8

of a gallon of iced tea to the same

party. How much iced tea did they bring?

• They brought a total of 5/8 gallons of iced tea.

• They brought a total of 1 5/8 gallons of iced tea.

• They brought a total of 10/12 gallons of iced tea.

• They brought a total of 4/4 gallons of iced tea.

Answer explanation

Noelia brought 3/4 of a gallon and Eva brought 7/8 of a gallon. To find the total, we add the fractions: 3/4 + 7/8 = 15/8. Simplifying, we get 1 5/8 gallons. Therefore, the correct answer is 'They brought a total of 1 5/8 gallons of iced tea.'

• 17/20

Answer explanation

Madame Curie had 1 13/20 kg of radium at first. This is the correct choice because she used 2/5 kg in an experiment and had 1/4 kg left.

Answer explanation

The bag of rice originally weighed 2 1/4 kg. After using 3/5 kg for dinner, the bag now weighs 1 13/20 kg. Therefore, the correct choice is 1 13/20 kg.

Answer explanation

To find the difference, subtract the second fraction from the first. The correct answer is 2 11/24, which is obtained by subtracting 1 7/8 from 4 1/3.