Let’s solve each row of equivalent fractions by looking at the shaded parts in the circles.
---
First Row (Green):
We are given:
- First circle: 1 out of 2 parts shaded →
1/2
- Second circle: 2 out of 4 parts shaded →
2/4
- Third circle: 3 out of 6 parts shaded →
3/6
Now, let’s look at the fourth circle: it’s split into 8 equal parts, and 4 are shaded →
4/8
Fifth circle: split into 10 equal parts, 5 are shaded →
5/10
So the full chain is:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
✔ All these fractions are equivalent to 1/2.
---
Second Row (Pink and Blue):
Left side (Pink):
- First circle: 1 out of 4 parts shaded →
1/4
- Second circle: 2 out of 8 parts shaded →
2/8
So:
1/4 = 2/8
Right side (Blue):
- First circle: 1 out of 5 parts shaded →
1/5
- Second circle: 2 out of 10 parts shaded →
2/10
So:
1/5 = 2/10
---
Third Row (Orange):
- First circle: 1 out of 3 parts shaded →
1/3
- Second circle: 2 out of 6 parts shaded →
2/6
- Third circle: 3 out of 9 parts shaded →
3/9
So:
1/3 = 2/6 = 3/9
---
Fourth Row (Purple):
- First circle: 2 out of 3 parts shaded →
2/3
- Second circle: 4 out of 6 parts shaded →
4/6
- Third circle: 6 out of 9 parts shaded →
6/9
So:
2/3 = 4/6 = 6/9
---
Final Answer:
Row 1:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
Row 2 (left):
1/4 = 2/8
Row 2 (right):
1/5 = 2/10
Row 3:
1/3 = 2/6 = 3/9
Row 4:
2/3 = 4/6 = 6/9
Parent Tip: Review the logic above to help your child master the concept of free equivalent fraction worksheet.