You're working on
equivalent fractions — fractions that represent the same value, even though they look different.
The key rule from the worksheet:
> *To form equivalent fractions, multiply the denominator and the numerator by the same number.*
But you can also
simplify a fraction (which is the reverse) by dividing both numerator and denominator by the same number — especially their
greatest common factor (GCF).
Let’s solve each problem step by step. Since the directions say “Write the equivalent of each fraction below,” and given the examples show simplified forms (like 4/8 → 1/2), we’ll assume the goal is to
simplify each fraction to its lowest terms.
---
Problem 1: 5/8
- GCF of 5 and 8 is
1.
- So, it’s already in simplest form.
✔ Answer: 5/8
---
Problem 2: 7/12
- GCF of 7 and 12 is
1 (7 is prime, doesn’t divide 12).
✔ Answer: 7/12
---
Problem 3: 4/9
- GCF of 4 and 9 is
1.
✔ Answer: 4/9
---
Problem 4: 2/15
- GCF of 2 and 15 is
1.
✔ Answer: 2/15
---
Problem 5: 12/20
- GCF of 12 and 20 is
4.
- Divide numerator and denominator by 4:
- 12 ÷ 4 = 3
- 20 ÷ 4 = 5
✔ Answer: 3/5
---
Problem 6: 15/45
- GCF of 15 and 45 is
15.
- 15 ÷ 15 = 1
- 45 ÷ 15 = 3
✔ Answer: 1/3
---
Problem 7: 2/60
- GCF of 2 and 60 is
2.
- 2 ÷ 2 = 1
- 60 ÷ 2 = 30
✔ Answer: 1/30
---
Problem 8: 3/18
- GCF of 3 and 18 is
3.
- 3 ÷ 3 = 1
- 18 ÷ 3 = 6
✔ Answer: 1/6
---
Problem 9: 4/5
- GCF of 4 and 5 is
1.
✔ Answer: 4/5
---
Problem 10: 9/10
- GCF of 9 and 10 is
1.
✔ Answer: 9/10
---
##
✔ Final Answers:
1.
5/8
2.
7/12
3.
4/9
4.
2/15
5.
3/5
6.
1/3
7.
1/30
8.
1/6
9.
4/5
10.
9/10
---
## 💡 Tip for Understanding:
Equivalent fractions are like different ways to write the same amount. For example, 1/2 = 2/4 = 3/6 — they all mean half of a whole. Simplifying helps us find the most basic form of the fraction.
You did great! Keep practicing — this is foundational for algebra and beyond. 🌟
Parent Tip: Review the logic above to help your child master the concept of simple equivalent fractions worksheet.
