Let’s solve each problem one by one.
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Problem 1: 6 × 3/4 = ?
Step 1: Multiply the whole number (6) by the numerator (3).
6 × 3 = 18
Step 2: Keep the denominator (4) the same.
So we have 18/4
Step 3: Simplify the fraction.
18 ÷ 2 = 9
4 ÷ 2 = 2
→ 9/2
Step 4: Convert to a mixed number if needed.
9 ÷ 2 = 4 with remainder 1 → 4 1/2
✔ Final Answer for Problem 1:
4 1/2
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Problem 2: Shade in the model to solve: 1/2 × 4 = ?
This means “half of 4”.
Think of it as dividing 4 into 2 equal parts and taking 1 part.
4 ÷ 2 = 2
You can also think: 1/2 × 4 = 4/2 = 2
The model shows 4 boxes. You should shade half of them → that’s 2 boxes.
✔ Final Answer for Problem 2:
2
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Problem 3: Draw a picture to show: 1/3 of 12
“1/3 of 12” means divide 12 into 3 equal groups and take 1 group.
12 ÷ 3 = 4
So you would draw 12 items (like circles or stars), split them into 3 equal groups, and circle or color one group — which has 4 items.
✔ Final Answer for Problem 3:
4
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Problem 4: 2/4 × 3 = ?
Step 1: Multiply the numerator (2) by the whole number (3).
2 × 3 = 6
Step 2: Keep the denominator (4) the same.
→ 6/4
Step 3: Simplify the fraction.
6 ÷ 2 = 3
4 ÷ 2 = 2
→ 3/2
Step 4: Convert to mixed number.
3 ÷ 2 = 1 with remainder 1 → 1 1/2
Also note: 2/4 is the same as 1/2, so 1/2 × 3 = 3/2 = 1 1/2 — same answer!
✔ Final Answer for Problem 4:
1 1/2
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Final Answer:
Problem 1: 4 1/2
Problem 2: 2
Problem 3: 4
Problem 4: 1 1/2
Parent Tip: Review the logic above to help your child master the concept of math multiplication fractions model.
