I'll solve these equivalent fractions problems step by step.
Problem 1: Shade 1/2 of the rectangle and find the equivalent fraction with denominator 8.
To find an equivalent fraction, I need to multiply both the numerator and denominator by the same number.
- We have 1/2 = □/8
- To get from 2 to 8, I multiply by 4
- So I must also multiply the numerator (1) by 4
- 1 × 4 = 4
- Therefore: 1/2 = 4/8
Problem 2: Shade 3/4 of the square and find the equivalent fraction with denominator 16.
- We have 3/4 = □/16
- To get from 4 to 16, I multiply by 4
- So I must also multiply the numerator (3) by 4
- 3 × 4 = 12
- Therefore: 3/4 = 12/16
Problem 3: Shade 2/4 of the rectangle and find the equivalent fraction with denominator 8.
- We have 2/4 = □/8
- To get from 4 to 8, I multiply by 2
- So I must also multiply the numerator (2) by 2
- 2 × 2 = 4
- Therefore: 2/4 = 4/8
Let me verify my answers:
- Problem 1: 1/2 = 4/8 ✓ (both equal 0.5)
- Problem 2: 3/4 = 12/16 ✓ (both equal 0.75)
- Problem 3: 2/4 = 4/8 ✓ (both equal 0.5)
Final Answer:
1. 1/2 = 4/8
2. 3/4 = 12/16
3. 2/4 = 4/8
Parent Tip: Review the logic above to help your child master the concept of free printable math worksheets equivalent fractions.