Math worksheet for practicing equivalent fractions and placing fractions on number lines.

Final Answer:
(a) 9
(b) 8
(c) 4
(d) 8/8
(e) 1/4

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Explanation:
Let’s go one by one — we’re looking for missing numbers that make the fractions equal (same amount).

(a) 1/3 = 3/□
Think: If 1 part out of 3 is the same as 3 parts out of how many?
We multiplied the top (numerator) by 3 → 1 × 3 = 3.
So we must multiply the bottom (denominator) by 3 too → 3 × 3 = 9.
Answer: 9

(b) 1/2 = 4/□
Top went from 1 to 4 → multiplied by 4.
So bottom must also be multiplied by 4 → 2 × 4 = 8.
Answer: 8

(c) 4/8 = 2/□
Top went from 4 to 2 → divided by 2.
So bottom must also be divided by 2 → 8 ÷ 2 = 4.
Answer: 4

(d) □/□ = 4/4
4/4 is the whole thing (like a full pizza).
The picture shows a circle cut into 8 pieces, all colored yellow → that’s 8/8.
8/8 = 4/4 → both are “the whole”.
Answer: 8/8

(e) 1/4 = □/□
Picture on left: 10 small boxes, 2 colored → that’s 2/10, but that’s not 1/4.
Wait — look at the right picture: 4 small boxes, 1 colored → that’s 1/4.
So 1/4 = 1/4 → just write 1 and 4.
Answer: 1/4

For the number lines:

First line: missing box is between 3/8 and 5/8 → that’s 4/8 → matches with 4/8.

Second line: missing box is between 3/6 and 5/6 → that’s 4/6 → matches with 4/6.

Third line: missing box is before 2/4 → that’s 1/4 → matches with 1/4.

Fourth line: missing box is after 1/3 → that’s 2/3 → matches with 2/3.

Fifth line: missing box is halfway → that’s 1/2 → matches with 1/2.

So the answers for the number lines are:
- First box: 4/8
- Second box: 4/6
- Third box: 1/4
- Fourth box: 2/3
- Fifth box: 1/2

But since the question only asked for the missing numbers in the boxes (and didn’t say to match the number lines), I gave the direct answers above.

If you need the number line matches too, let me know!