Let’s solve this step by step.
We are asked to compare two fractions:
3/4 and
5/12, using the benchmark of
1/2.
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Step 1: Understand where 3/4 is compared to 1/2
We know that:
- 1/2 = 0.5
- 3/4 = 0.75 → which is
greater than 0.5
So,
3/4 is on the right side of 1/2 on the number line.
You can also think in terms of equivalent fractions:
- 1/2 = 2/4
- So 3/4 is bigger than 2/4 → so it’s greater than 1/2.
✔ Answer to first question:
Right side
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Step 2: Understand where 5/12 is compared to 1/2
We know:
- 1/2 = 6/12 (because if you multiply numerator and denominator of 1/2 by 6, you get 6/12)
- So 5/12 is
less than 6/12
That means
5/12 is less than 1/2
✔ Answer to second question:
Left side
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Step 3: Compare 3/4 and 5/12
From above:
- 3/4 > 1/2
- 5/12 < 1/2
So, since one is greater than 1/2 and the other is less than 1/2, we can say:
→
3/4 is greater than 5/12
You can also check with decimals:
- 3/4 = 0.75
- 5/12 ≈ 0.416...
Yes, 0.75 > 0.416...
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Final Answer:
3/4 is greater than 5/12
Parent Tip: Review the logic above to help your child master the concept of comparing fractions using benchmarks worksheet.
