To solve these problems, we multiply the whole number by the numerator (top) of the fraction. Then we write that result over the denominator (bottom). If the top number is bigger than the bottom, we can simplify it into a whole number or mixed number.
Let’s go step by step:
1) 1 × 2/3 → Multiply 1 by 2 = 2 → Keep denominator 3 → Answer:
2/3
2) 7 × 1/6 → Multiply 7 by 1 = 7 → Keep denominator 6 → Answer:
7/6
Since 7 > 6, this is an improper fraction. We can write it as a mixed number: 1 and 1/6 → But since the question allows fractions too, either is fine. Let’s keep it as
7/6 unless told to simplify.
Wait — actually, let me check the instructions again: “Write your answer as a fraction or whole number or mixed number” — so both are okay. But for consistency, I’ll give simplified forms where possible.
Actually, better to follow standard practice: if it simplifies to a whole number or mixed number, do that. Otherwise leave as fraction.
So:
2) 7 × 1/6 = 7/6 → which is 1 1/6 → but maybe they want just the fraction? Hmm. Looking at other problems, some will simplify nicely.
Let me redo all with full simplification where applicable.
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1) 1 × 2/3 = 2/3 → already simplest form →
2/3
2) 7 × 1/6 = 7/6 → improper → convert to mixed: 6 goes into 7 once with remainder 1 →
1 1/6
But wait — perhaps the worksheet expects fractional answers even if improper? The instruction says “fraction OR whole number OR mixed number”, so all are acceptable. To be safe, I’ll use mixed numbers when the fraction is improper and greater than 1.
Actually, looking at problem 5: 7 × 4/4 = 7 × 1 = 7 → that’s a whole number.
Problem 8: 6 × 7/2 = 42/2 = 21 → whole number.
So yes, simplify fully.
Let me recalculate each carefully:
1) 1 × 2/3 = (1×2)/3 = 2/3 →
2/3
2) 7 × 1/6 = (7×1)/6 = 7/6 → 7 ÷ 6 = 1 R1 →
1 1/6
3) 6 × 5/3 = (6×5)/3 = 30/3 = 10 →
10
4) 8 × 4/5 = (8×4)/5 = 32/5 → 32 ÷ 5 = 6 R2 →
6 2/5
5) 7 × 4/4 = 7 × 1 = 7 →
7
6) 6 × 4/7 = (6×4)/7 = 24/7 → 24 ÷ 7 = 3 R3 →
3 3/7
7) 8 × 3/4 = (8×3)/4 = 24/4 = 6 →
6
8) 6 × 7/2 = (6×7)/2 = 42/2 = 21 →
21
9) 3 × 1/5 = 3/5 →
3/5
10) 4 × 1/8 = 4/8 → simplify: divide numerator and denominator by 4 →
1/2
Double-checking:
1) 1×2/3=2/3 ✔️
2) 7×1/6=7/6=1 1/6 ✔️
3) 6×5/3=30/3=10 ✔️
4) 8×4/5=32/5=6 2/5 ✔️
5) 7×4/4=7×1=7 ✔️
6) 6×4/7=24/7=3 3/7 ✔️
7) 8×3/4=24/4=6 ✔️
8) 6×7/2=42/2=21 ✔️
9) 3×1/5=3/5 ✔️
10) 4×1/8=4/8=1/2 ✔️
All correct.
Final Answer:
1) 2/3
2) 1 1/6
3) 10
4) 6 2/5
5) 7
6) 3 3/7
7) 6
8) 21
9) 3/5
10) 1/2
Parent Tip: Review the logic above to help your child master the concept of whole number worksheet.