Equivalent Fractions
Which fraction is equivalent to 1/2?
2/4, 3/5, or 4/6 Explain briefly.
2/4
Which is greater: 1/2 or 1/3? Use benchmark fractions (0, 1/2, whole) to justify.
1/2 is greater.
Compute: 1/4 + 1/4
2/4
What is 3 x 1/4
3/4
Sam ate 1/3 of a pie. How much of the pie is left? Record as a fraction.
There is 2/3 of the pie left.
Write two different fractions equivalent to 3/4 with denominators from this list: 8, 12, 100.
6/8, 9/12, 75/100
Compare using >, =, or <: 3/6 ___ 5/12. Give a one-sentence justification (use common denominators, common numerators, or benchmarks).
3/6 > 5/12
Compute: 3/8 + 4/8
7/8
What is 5 x 1/5
5/5 = 1
A ribbon is 3/4 yard long. Kara uses 1/4 yard to tie a gift. How much ribbon remains?
True or false: 6/10 is equivalent to 3/5. Explain using reasoning about how numerator and denominator change.
True
Order the three from smallest to largest: 5/6, 4/5, 7/12.
7/12, 4/5, 5/6
Add: 3/4 + 1/4
4/4 = 1
What is 4 x 2/3
8/3 = 2 2/3
A recipe needs 2/3 cup of sugar. If you make 3 batches, how much sugar do you need in total? Write an equation and solve.
2/3 x 3 = 6/3 = 2
You need 2 cups.
Find a fraction equivalent to 4/6 with denominator 12.
8/12
Compare: 7/10 and 3/4. Record the symbol and explain using a benchmark or common denominator.
7/10 < 15/20
Subtract 5/6 - 1/6
4/6
6 x 3/10
18/10 = 1 8/10
Maria has 5 baskets. Each basket holds 2/5 kg of apples. How many kilograms of apples does she have altogether? Write and solve.
5 x 2/5 = 10/5 = 2
She has 2kg altogether.
A student says 2/3 is the same as 4/8. Is the student correct? Explain why or why not?
False
Two fractions refer to different wholes: 1/2 of a pizza and 2/3 of a cake. Can you compare them directly? Explain why or why not, referring to the standard about "same whole."
No because the pieces are not cut into the same sizes and the number eaten or shaded is not the same. You would need to change them to have a common numerator or denominator to compare.
Add the mixed numbers: 1 2/5 + 2 3/5.
3 5/5 = 4
8 x 3/4
24/4 = 6
A teacher has 2 1/4 meters of fabric. She uses 3/4 meter for a project. How much fabric will be left over?
6/4 or 1 2/4 fabric will be left over.