Let’s solve this step by step.
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First Problem:
We are given:
> 7/8 + 3/8 = ?
Since both fractions have the same denominator (8), we can just add the numerators:
7 + 3 = 10
So, 7/8 + 3/8 = 10/8
But 10/8 is an improper fraction — it’s more than 1 whole. Let’s turn it into a mixed number.
How many times does 8 go into 10? Once, with 2 left over.
So, 10/8 = 1 and 2/8
We can simplify 2/8 to 1/4 (because both 2 and 8 can be divided by 2).
So, final answer:
1 1/4
Also, the model shows that after adding, you get one full rectangle (all 8 parts colored) plus 2 extra yellow parts out of 8 — which matches 10/8 or 1 2/8 → 1 1/4.
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Second Problem:
We see two models:
- First model: orange squares. There are 4 total squares, 3 are colored → so that’s
3/4
- Second model: pink squares. Also 4 total, 3 colored → so that’s
3/4
So we’re solving:
3/4 + 3/4 = ?
Add numerators: 3 + 3 = 6
Denominator stays 4 → 6/4
Again, improper fraction. Turn into mixed number.
How many times does 4 go into 6? Once, with 2 left over → 1 and 2/4
Simplify 2/4 → 1/2
So, 6/4 =
1 1/2
You could also think: 3/4 + 3/4 = 6/4 = 3/2 = 1 1/2
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✔ Final Answers:
First problem:
7/8 + 3/8 = 1 1/4
Second problem:
3/4 + 3/4 = 1 1/2
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Final Answer:
1 1/4 and 1 1/2
Parent Tip: Review the logic above to help your child master the concept of adding fractions using models worksheet.