Equivalent Fractions Practice & Making Equivalent Fractions Worksheet
Work through a finite set of equivalent-fraction questions, then use Mosaic Province for visual area-model practice.
Try the set, then open each answer.
1. Is 1/2 equivalent to 2/4?
Yes. Multiply the top and bottom of 1/2 by 2: 1 × 2 = 2 and 2 × 2 = 4.
2. Is 3/6 equivalent to 1/2?
Yes. Divide 3/6 by 3 on top and bottom: 3 ÷ 3 = 1 and 6 ÷ 3 = 2.
3. Fill the blank: 2/3 = __/6.
4/6. The denominator 3 became 6, so multiply the numerator by the same 2.
4. Fill the blank: 3/5 = 12/__.
20. The numerator 3 became 12, so multiply the denominator by the same 4.
5. Is 4/8 equivalent to 2/4?
Yes. Both reduce to 1/2, so they name the same amount.
6. Is 2/5 equivalent to 4/12?
No. 2/5 doubled would be 4/10, not 4/12.
7. Which is equivalent to 3/4: 6/8 or 6/10?
6/8. Multiply 3/4 by 2 on top and bottom.
8. Reduce 8/12 to an equivalent fraction in simplest form.
2/3. Divide top and bottom by 4.
9. Fill the blank: 5/6 = __/18.
15/18. The denominator 6 became 18, so multiply the numerator by 3.
10. Is 9/12 equivalent to 3/4?
Yes. Divide top and bottom by 3: 9/12 becomes 3/4.
11. Which fraction is equivalent to 2/7: 6/21 or 6/14?
6/21. Multiply 2/7 by 3 on top and bottom.
12. Make an equivalent fraction to 4/9 with denominator 27.
12/27. Multiply 4 and 9 by 3.
Equivalent fractions practice questions
What makes two fractions equivalent?
They name the same amount. Multiplying or dividing the numerator and denominator by the same nonzero number keeps the amount unchanged.
Why use area models for equivalent fractions?
Area models help children see that the pieces can be renamed without changing the shaded amount.
How do you make an equivalent fraction?
Multiply or divide the numerator and denominator by the same nonzero number. For example, 2/3 becomes 4/6 when both parts are multiplied by 2.
Can this be used like a worksheet?
Yes. Work through the problems one at a time, open each answer after trying it, and revisit any miss with an area model or a simpler equivalent fraction.
How should my child work through this set?
Keep it untimed. Try one problem, open the answer, and talk through any miss calmly before moving on. A short, focused set is enough for one sitting.
Preparing for a gifted & talented test? Many tests like the CogAT® include reasoning problems like these — see free CogAT-style sample questions →