5th grade · Math · Unit 4 of 14
Equivalent Fractions
Same amount, different fraction
What your child practices
Making and recognizing equivalent fractions (2/3 = 8/12), simplifying, comparing and ordering fractions, and judging whether a fraction is close to 0, 1/2 or 1.
Maine Learning Results learning standard: 5.NF.A.1 · using equivalent fractions to add and subtract fractions
How we explain it
Children can open this short lesson before they practice.
- Equivalent fractions name the same amount.
- Multiply the top and bottom by the same number to make one.
- Divide the top and bottom by the same number to simplify.
Example: Write a fraction equivalent to 2/3 with a denominator of 12. 3 × 4 = 12, so multiply the top by 4 too. 2 × 4 = 8. Answer: 8/12
Equivalent Fractions in Maine
In the Maine Learning Results, this is unit 4 of 14 in 5th grade Math, after Divide and before Decimals.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Maine Department of Education
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What number goes in the box to make the fractions equivalent?
1/5 = /20
answer box
4
Hint: What was 5 multiplied by to get 20? Multiply the numerator by the same number.
Question 2
Which fraction is equivalent to 3/4?
- 9/4
- 3/12
- 9/12
- 10/12
9/12
Hint: Equivalent fractions come from multiplying (or dividing) the numerator and the denominator by the same number.
Question 3
A garden has 16 plants. 1/4 of them are tomato plants. How many tomato plants are there?
answer box
4
Hint: Write 1/4 as an equivalent fraction with a denominator of 16. Its numerator is the answer.
Question 4
Is 1/5 closest to 0, 1/2 or 1?
- 0
- 1/2
- 1
0
Hint: Half of 5 is 2.5. Compare the numerator 1 with that: much smaller is near 0, about the same is near 1/2, and close to 5 is near 1.
Question 5
Which fraction is NOT equivalent to 7/8?
- 14/16
- 9/10
- 35/40
- 21/24
9/10
Hint: For each fraction, check: were the numerator and denominator both multiplied by the same number? Adding the same number to both does not keep a fraction equivalent.
Question 6
Which fraction is greater than 1/2?
- 3/6
- 7/8
- 1/5
- 2/12
7/8
Hint: A fraction is greater than 1/2 when its numerator is more than half of its denominator. Exactly half means it equals 1/2.