Let’s go through each problem one by one. We’ll compare the fractions using >, <, or =.
To compare fractions, we can:
- Find a common denominator and compare numerators.
- Or convert to decimals (if easy).
- Or use cross-multiplication: for a/b vs c/d, compare a×d and b×c.
We’ll do this carefully for each.
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1) 4/5 vs 1/4
Cross multiply:
4 × 4 = 16
5 × 1 = 5
16 > 5 → so 4/5 > 1/4
✔ Answer:
>
---
2) 1/10 vs 4/5
Cross multiply:
1 × 5 = 5
10 × 4 = 40
5 < 40 → so 1/10 < 4/5
✔ Answer:
<
---
3) 3/4 vs 2/10
Simplify 2/10 = 1/5
Now compare 3/4 and 1/5
Cross multiply: 3×5=15, 4×1=4 → 15>4 → 3/4 > 1/5
Or directly: 3/4 = 0.75, 2/10 = 0.2 → 0.75 > 0.2
✔ Answer:
>
---
4) 1/3 vs 5/8
Cross multiply: 1×8=8, 3×5=15 → 8 < 15 → 1/3 < 5/8
✔ Answer:
<
---
5) 2/5 vs 1/6
Cross multiply: 2×6=12, 5×1=5 → 12 > 5 → 2/5 > 1/6
✔ Answer:
>
---
6) 4/6 vs 1/10
Simplify 4/6 = 2/3 ≈ 0.666, 1/10 = 0.1 → clearly 2/3 > 0.1
Cross multiply: 4×10=40, 6×1=6 → 40 > 6 → 4/6 > 1/10
✔ Answer:
>
---
7) 4/12 vs 1/8
Simplify 4/12 = 1/3
Compare 1/3 and 1/8 → same numerator, smaller denominator is bigger → 1/3 > 1/8
Cross multiply: 4×8=32, 12×1=12 → 32 > 12 → 4/12 > 1/8
✔ Answer:
>
---
8) 3/5 vs 5/12
Cross multiply: 3×12=36, 5×5=25 → 36 > 25 → 3/5 > 5/12
✔ Answer:
>
---
9) 10/12 vs 1/4
Simplify 10/12 = 5/6
Compare 5/6 and 1/4
Cross multiply: 5×4=20, 6×1=6 → 20 > 6 → 5/6 > 1/4
Or: 10/12 ≈ 0.833, 1/4 = 0.25 → yes, greater
✔ Answer:
>
---
10) 4/5 vs 4/10
Same numerator! Smaller denominator means larger fraction → 5 < 10 → 4/5 > 4/10
Also, 4/10 = 2/5, and 4/5 > 2/5
✔ Answer:
>
---
11) 2/5 vs 3/6
Simplify 3/6 = 1/2
Compare 2/5 and 1/2
Cross multiply: 2×2=4, 5×1=5 → 4 < 5 → 2/5 < 1/2
So 2/5 < 3/6
✔ Answer:
<
---
12) 3/6 vs 2/4
Simplify both:
3/6 = 1/2
2/4 = 1/2
→ They are equal!
✔ Answer:
=
---
13) 1/10 vs 2/4
2/4 = 1/2
1/10 = 0.1, 1/2 = 0.5 → 0.1 < 0.5
Cross multiply: 1×4=4, 10×2=20 → 4 < 20 → 1/10 < 2/4
✔ Answer:
<
---
14) 1/8 vs 4/6
4/6 = 2/3 ≈ 0.666, 1/8 = 0.125 → 0.125 < 0.666
Cross multiply: 1×6=6, 8×4=32 → 6 < 32 → 1/8 < 4/6
✔ Answer:
<
---
15) 5/8 vs 2/3
Cross multiply: 5×3=15, 8×2=16 → 15 < 16 → 5/8 < 2/3
✔ Answer:
<
---
16) 2/5 vs 3/4
Cross multiply: 2×4=8, 5×3=15 → 8 < 15 → 2/5 < 3/4
✔ Answer:
<
---
17) 1/4 vs 11/12
1/4 = 3/12, 11/12 → 3/12 < 11/12
Cross multiply: 1×12=12, 4×11=44 → 12 < 44 → 1/4 < 11/12
✔ Answer:
<
---
18) 3/6 vs 2/8
Simplify: 3/6 = 1/2, 2/8 = 1/4
1/2 > 1/4
Cross multiply: 3×8=24, 6×2=12 → 24 > 12 → 3/6 > 2/8
✔ Answer:
>
---
19) 1/6 vs 4/5
Cross multiply: 1×5=5, 6×4=24 → 5 < 24 → 1/6 < 4/5
✔ Answer:
<
---
20) 2/10 vs 2/8
Same numerator! Smaller denominator → bigger fraction.
8 < 10 → so 2/8 > 2/10 → meaning 2/10 < 2/8
✔ Answer:
<
---
Final Answer:
1) >
2) <
3) >
4) <
5) >
6) >
7) >
8) >
9) >
10) >
11) <
12) =
13) <
14) <
15) <
16) <
17) <
18) >
19) <
20) <
Parent Tip: Review the logic above to help your child master the concept of comparing fractions worksheet for grade.
