Let's solve the problem step by step.
Task:
Convert each fraction on the
left to its
simplest form, then
match it with the correct simplified fraction on the
right.
---
Step 1: Simplify each fraction on the left
1.
4/6
Divide numerator and denominator by their GCF (Greatest Common Factor), which is
2:
$$
\frac{4 ÷ 2}{6 ÷ 2} = \frac{2}{3}
$$
✔ Matches with
2/3 on the right.
2.
3/6
GCF of 3 and 6 is
3:
$$
\frac{3 ÷ 3}{6 ÷ 3} = \frac{1}{2}
$$
✔ Matches with
1/2
3.
2/6
GCF of 2 and 6 is
2:
$$
\frac{2 ÷ 2}{6 ÷ 2} = \frac{1}{3}
$$
✔ Matches with
1/3
4.
8/10
GCF of 8 and 10 is
2:
$$
\frac{8 ÷ 2}{10 ÷ 2} = \frac{4}{5}
$$
✔ Matches with
4/5
5.
6/8
GCF of 6 and 8 is
2:
$$
\frac{6 ÷ 2}{8 ÷ 2} = \frac{3}{4}
$$
✔ Matches with
3/4
6.
6/9
GCF of 6 and 9 is
3:
$$
\frac{6 ÷ 3}{9 ÷ 3} = \frac{2}{3}
$$
✔ Matches with
2/3
---
Step 2: Match the simplified fractions
Now let’s match each original fraction to its simplified form:
| Original Fraction | Simplified Form | Match |
|-------------------|------------------|-------|
| 4/6 | 2/3 | → 2/3 |
| 3/6 | 1/2 | → 1/2 |
| 2/6 | 1/3 | → 1/3 |
| 8/10 | 4/5 | → 4/5 |
| 6/8 | 3/4 | → 3/4 |
| 6/9 | 2/3 | → 2/3 |
---
Final Matching (from left to right):
-
4/6 →
2/3 ✔ (already drawn in red)
-
3/6 →
1/2
-
2/6 →
1/3
-
8/10 →
4/5
-
6/8 →
3/4
-
6/9 →
2/3
> Note: Two fractions (4/6 and 6/9) both simplify to
2/3, so they both connect to the same answer.
---
Summary of Correct Matches:
1. 4/6 → 2/3
2. 3/6 → 1/2
3. 2/6 → 1/3
4. 8/10 → 4/5
5. 6/8 → 3/4
6. 6/9 → 2/3
✔ All fractions are now matched correctly.
Let me know if you'd like a visual diagram or printable version!
Parent Tip: Review the logic above to help your child master the concept of fraction in simplest form worksheet.
