Grade 3 Equivalent Fractions (only numerators missing) worksheet from K5 Learning.

To find the missing numerators, we need to make the fractions equivalent. This means the top and bottom numbers must be multiplied or divided by the same amount to keep the value the same.

Here is the step-by-step solution for each problem:

1. $\frac{2}{5} = \frac{?}{30}$
* Look at the denominators (bottom numbers): $5 \times 6 = 30$.
* Do the same to the numerator (top number): $2 \times 6 = 12$.
* Answer: 12

2. $\frac{?}{2} = \frac{6}{12}$
* Look at the denominators: $12 \div 6 = 2$.
* Do the same to the numerator: $6 \div 6 = 1$.
* Answer: 1

3. $\frac{2}{3} = \frac{?}{27}$
* Look at the denominators: $3 \times 9 = 27$.
* Do the same to the numerator: $2 \times 9 = 18$.
* Answer: 18

4. $\frac{1}{2} = \frac{?}{18}$
* Look at the denominators: $2 \times 9 = 18$.
* Do the same to the numerator: $1 \times 9 = 9$.
* Answer: 9

5. $\frac{?}{3} = \frac{12}{18}$
* Look at the denominators: $18 \div 6 = 3$.
* Do the same to the numerator: $12 \div 6 = 2$.
* Answer: 2

6. $\frac{4}{5} = \frac{?}{25}$
* Look at the denominators: $5 \times 5 = 25$.
* Do the same to the numerator: $4 \times 5 = 20$.
* Answer: 20

7. $\frac{?}{3} = \frac{6}{18}$
* Look at the denominators: $18 \div 6 = 3$.
* Do the same to the numerator: $6 \div 6 = 1$.
* Answer: 1

8. $\frac{1}{2} = \frac{?}{14}$
* Look at the denominators: $2 \times 7 = 14$.
* Do the same to the numerator: $1 \times 7 = 7$.
* Answer: 7

9. $\frac{2}{5} = \frac{?}{50}$
* Look at the denominators: $5 \times 10 = 50$.
* Do the same to the numerator: $2 \times 10 = 20$.
* Answer: 20

10. $\frac{2}{?} = \frac{5}{10}$ *(Note: The image shows $\frac{2}{?} = \frac{5}{10}$ but usually these are written left-to-right. Let's look closer. It says $\frac{2}{?} = \frac{5}{10}$? No, it says $\frac{2}{?} = \frac{5}{10}$ is unlikely because 2 doesn't go into 5 evenly for simple grade 3 math. Let's re-read carefully. Ah, it is $\frac{2}{?} = \frac{5}{10}$? Wait, looking at #10 in the image: It is $\frac{2}{?} = \frac{5}{10}$? No, it is $\frac{2}{?} = \frac{5}{10}$? Actually, looking at the pattern, it is likely $\frac{?}{2} = \frac{5}{10}$ or $\frac{2}{?} = \frac{5}{10}$. Let's look at the numbers. $5/10$ simplifies to $1/2$. So if the left side is $2/something$, then $2/4 = 1/2$. If the left side is $something/2$, then $1/2 = 5/10$. Let's look really closely at crop 4. It says `10. 2/? = 5/10`. Wait, no. It says `10. 2/5 = ?/10`? No. It looks like `10. 2/? = 5/10`. Let's assume the question is asking for the denominator on the left? No, the title says "only numerators missing". This implies the blank is always on top. Let's re-examine #10. It looks like `10. 2/5 = ?/10`? No, the 5 is under the 2? No. Let's look at the spacing. It is `10. 2/5 = ?/10`? No. It is `10. ?/2 = 5/10`? That would make the answer 1. Or is it `10. 2/? = 5/10`? That would mean the denominator is missing. But the title says "only numerators missing". Let's look at #10 again. It is `10. 2/5 = ?/10`? No. It is `10. ?/2 = 5/10`? Let's check #11. `11. ?/3 = 16/24`. $16/24$ divides by 8 to get $2/3$. So the answer is 2. This confirms the blank is the numerator. So for #10, the blank must be the numerator. The text is `10. ?/2 = 5/10`? Or `10. 2/? = 5/10`? Let's look at the visual alignment. The fraction on the left is `2` over something. The fraction on the right is `5` over `10`. Wait, looking at the full image, #10 is `2/5 = ?/10`? No, the denominator on the left is clearly a `5`? No, it looks like a `2`? Let's zoom in mentally. It looks like `10. 2/5 = ?/10`. If so, $5 \times 2 = 10$, so $2 \times 2 = 4$. Answer 4. Let's try another interpretation. Is it `10. ?/2 = 5/10`? $10 \div 5 = 2$, so $5 \div 5 = 1$. Answer 1. Let's look at the other problems. They all have the blank on top. So #10 MUST have the blank on top. The visible numbers are `2`, `5`, `10`. The structure is `[Blank]/[Denom] = [Num]/[Denom]`. The left fraction has a `2` on top? No, the `2` is part of the problem number `10.`? No. The fraction is `?/2 = 5/10`? Or `?/5 = 2/10`? Let's look at the spacing. The left fraction has a numerator that is blurry. The denominator is `2`? Or `5`? The right fraction is `5/10`. If the right is $5/10$, that equals $1/2$. If the left denominator is $2$, the numerator is $1$. If the left denominator is $5$, the numerator is $2.5$ (unlikely). If the left numerator is $2$, and the denominator is missing, that violates the "only numerators missing" rule. Let's assume the standard format: Left Numerator is Missing. The denominator on the left looks like a 2. The right fraction is 5/10.
* Right fraction: $\frac{5}{10}$ simplifies to $\frac{1}{2}$ (divide top and bottom by 5).
* Left fraction: $\frac{?}{2}$.
* Since $\frac{1}{2} = \frac{1}{2}$, the missing numerator is 1.
* *Alternative check*: Maybe it's $\frac{?}{5} = \frac{2}{10}$? $10 \div 2 = 5$, so $2 \div 2 = 1$. Answer 1.
* *Alternative check*: Maybe it's $\frac{2}{?} = \frac{5}{10}$? This would mean a denominator is missing.
* Let's look at the image again very carefully. Problem 10 is: $\frac{2}{5} = \frac{?}{10}$? No, the 5 is on the bottom left? It looks like `2` over `5`. And `?` over `10`. If it is $\frac{2}{5} = \frac{?}{10}$, then $5 \times 2 = 10$, so $2 \times 2 = 4$.
* Let's compare Problem 10 and Problem 1. Problem 1 is $\frac{2}{5} = \frac{?}{30}$. Problem 10 looks different. The denominator on the left is definitely a single digit. It looks like a 2. The numerator on the right is 5. The denominator on the right is 10. So it is $\frac{?}{2} = \frac{5}{10}$.
* Calculation: $10 \div 5 = 2$ (scale factor is dividing by 5? No, $10 \div 2 = 5$ scale factor from left to right is $\times 5$? No. Left Denom 2, Right Denom 10. $2 \times 5 = 10$. So multiply numerator by 5. $? \times 5 = 5$. So $? = 1$.
* Answer: 1

11. $\frac{?}{3} = \frac{16}{24}$
* Look at the denominators: $24 \div 8 = 3$.
* Do the same to the numerator: $16 \div 8 = 2$.
* Answer: 2

12. $\frac{4}{5} = \frac{?}{15}$
* Look at the denominators: $5 \times 3 = 15$.
* Do the same to the numerator: $4 \times 3 = 12$.
* Answer: 12

13. $\frac{?}{5} = \frac{36}{45}$
* Look at the denominators: $45 \div 9 = 5$.
* Do the same to the numerator: $36 \div 9 = 4$.
* Answer: 4

14. $\frac{?}{2} = \frac{2}{4}$
* Look at the denominators: $4 \div 2 = 2$.
* Do the same to the numerator: $2 \div 2 = 1$.
* Answer: 1

15. $\frac{2}{3} = \frac{?}{6}$
* Look at the denominators: $3 \times 2 = 6$.
* Do the same to the numerator: $2 \times 2 = 4$.
* Answer: 4

16. $\frac{2}{3} = \frac{?}{21}$
* Look at the denominators: $3 \times 7 = 21$.
* Do the same to the numerator: $2 \times 7 = 14$.
* Answer: 14

17. $\frac{2}{5} = \frac{?}{15}$
* Look at the denominators: $5 \times 3 = 15$.
* Do the same to the numerator: $2 \times 3 = 6$.
* Answer: 6

18. $\frac{2}{3} = \frac{?}{9}$
* Look at the denominators: $3 \times 3 = 9$.
* Do the same to the numerator: $2 \times 3 = 6$.
* Answer: 6

Final Answer:
1. 12
2. 1
3. 18
4. 9
5. 2
6. 20
7. 1
8. 7
9. 20
10. 1
11. 2
12. 12
13. 4
14. 1
15. 4
16. 14
17. 6
18. 6