Let’s solve each problem step by step.
We are working with
equivalent fractions — that means we’re either multiplying or dividing the numerator and denominator by the same number to get a fraction that has the same value.
---
Left Column (Multiplication):
1.
2/3 × 2/2
Multiply numerators: 2 × 2 = 4
Multiply denominators: 3 × 2 = 6
→
4/6
2.
6/7 × 3/3
Numerator: 6 × 3 = 18
Denominator: 7 × 3 = 21
→
18/21
3.
4/9 × 5/5
Numerator: 4 × 5 = 20
Denominator: 9 × 5 = 45
→
20/45
4.
3/5 × 4/4
Numerator: 3 × 4 = 12
Denominator: 5 × 4 = 20
→
12/20
5.
6/7 × 2/2
Numerator: 6 × 2 = 12
Denominator: 7 × 2 = 14
→
12/14
---
Right Column (Division):
When you divide a fraction by another fraction like this, it’s the same as multiplying by its reciprocal — but here, since both numerator and denominator are being divided by the same number, we can just divide top and bottom separately.
Actually, looking at the format:
It says “14/22 ÷ 2/2” — which is unusual notation. But in context of equivalent fractions, this likely means:
→ Divide numerator and denominator of 14/22 by 2 → so (14÷2)/(22÷2) = 7/11
Same for others — they mean: simplify the fraction by dividing numerator and denominator by the given number.
So let’s do that:
1.
14/22 ÷ 2/2 → Actually, interpret as: divide numerator and denominator by 2
14 ÷ 2 = 7
22 ÷ 2 = 11
→
7/11
2.
12/20 ÷ 4/4 → divide numerator and denominator by 4
12 ÷ 4 = 3
20 ÷ 4 = 5
→
3/5
3.
21/24 ÷ 3/3 → divide by 3
21 ÷ 3 = 7
24 ÷ 3 = 8
→
7/8
4.
24/36 ÷ 6/6 → divide by 6
24 ÷ 6 = 4
36 ÷ 6 = 6
→
4/6
5.
15/20 ÷ 5/5 → divide by 5
15 ÷ 5 = 3
20 ÷ 5 = 4
→
3/4
---
✔ All calculations checked.
Final Answer:
Left column (top to bottom):
4/6, 18/21, 20/45, 12/20, 12/14
Right column (top to bottom):
7/11, 3/5, 7/8, 4/6, 3/4
Parent Tip: Review the logic above to help your child master the concept of 7th grade math worksheet common core.
