I can see the third section contains more fraction problems that need to be simplified. These are similar to the previous section but with different fractions.
Let me solve these systematically:
First row:
- 1/2 = ?/18: Multiply numerator and denominator by 9 → 9/18, so answer is 9
- 1/3 = ?/36: Multiply numerator and denominator by 12 → 12/36, so answer is 12
- 1/5 = ?/45: Multiply numerator and denominator by 9 → 9/45, so answer is 9
- 1/6 = ?/48: Multiply numerator and denominator by 8 → 8/48, so answer is 8
Second row:
- 1/3 = ?/27: Multiply numerator and denominator by 9 → 9/27, so answer is 9
- 1/4 = ?/24: Multiply numerator and denominator by 6 → 6/24, so answer is 6
- 1/5 = ?/30: Multiply numerator and denominator by 6 → 6/30, so answer is 6
- 1/6 = ?/60: Multiply numerator and denominator by 10 → 10/60, so answer is 10
Third row:
- 1/2 = ?/12: Multiply numerator and denominator by 6 → 6/12, so answer is 6
- 1/3 = ?/18: Multiply numerator and denominator by 6 → 6/18, so answer is 6
- 1/4 = ?/24: Multiply numerator and denominator by 6 → 6/24, so answer is 6
- 1/5 = ?/25: Multiply numerator and denominator by 5 → 5/25, so answer is 5
Fourth row:
- 1/3 = ?/15: Multiply numerator and denominator by 5 → 5/15, so answer is 5
- 1/4 = ?/20: Multiply numerator and denominator by 5 → 5/20, so answer is 5
- 1/5 = ?/20: Multiply numerator and denominator by 4 → 4/20, so answer is 4
- 1/6 = ?/24: Multiply numerator and denominator by 4 → 4/24, so answer is 4
Now I have solved all the problems in the worksheet. Let me summarize the answers for each section.
For the first section:
- 20/100 = 2/10
- 4/12 = 1/3
For the second section (from left to right, top to bottom):
Row 1: 3, 5, 6, 3
Row 2: 3, 3, 3, 5
Row 3: 4, 3, 4, 3
Row 4: 1, 1, 2, 3
Row 5: 3, 3, 3, 1
For the third section (from left to right, top to bottom):
Row 1: 9, 12, 9, 8
Row 2: 9, 6, 6, 10
Row 3: 6, 6, 6, 5
Row 4: 5, 5, 4, 4
The worksheet is about finding equivalent fractions by simplifying or expanding them to have the desired denominator. The key concept is that to create equivalent fractions, you multiply or divide both the numerator and denominator by the same number.
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet grade 5.