To find the missing numbers, we need to make equivalent fractions. This means we multiply or divide the top number (numerator) and the bottom number (denominator) by the same amount.
Here is the step-by-step solution for each problem:
Row 1:
1. $\frac{1}{2} = \frac{?}{4}$
* The bottom number goes from 2 to 4 (multiplied by 2).
* So, multiply the top number by 2: $1 \times 2 = 2$.
* Answer:
2
2. $\frac{1}{3} = \frac{?}{6}$
* The bottom number goes from 3 to 6 (multiplied by 2).
* So, multiply the top number by 2: $1 \times 2 = 2$.
* Answer:
2
3. $\frac{2}{6} = \frac{?}{12}$
* The bottom number goes from 6 to 12 (multiplied by 2).
* So, multiply the top number by 2: $2 \times 2 = 4$.
* Answer:
4
Row 2:
4. $\frac{1}{2} = \frac{?}{8}$
* The bottom number goes from 2 to 8 (multiplied by 4).
* So, multiply the top number by 4: $1 \times 4 = 4$.
* Answer:
4
5. $\frac{1}{3} = \frac{?}{12}$
* The bottom number goes from 3 to 12 (multiplied by 4).
* So, multiply the top number by 4: $1 \times 4 = 4$.
* Answer:
4
6. $\frac{2}{6} = \frac{?}{3}$
* The bottom number goes from 6 to 3 (divided by 2).
* So, divide the top number by 2: $2 \div 2 = 1$.
* Answer:
1
Row 3:
7. $\frac{2}{4} = \frac{?}{8}$
* The bottom number goes from 4 to 8 (multiplied by 2).
* So, multiply the top number by 2: $2 \times 2 = 4$.
* Answer:
4
8. $\frac{4}{8} = \frac{?}{2}$
* The bottom number goes from 8 to 2 (divided by 4).
* So, divide the top number by 4: $4 \div 4 = 1$.
* Answer:
1
9. $\frac{4}{12} = \frac{?}{3}$
* The bottom number goes from 12 to 3 (divided by 4).
* So, divide the top number by 4: $4 \div 4 = 1$.
* Answer:
1
Row 4:
10. $\frac{2}{4} = \frac{?}{2}$
* The bottom number goes from 4 to 2 (divided by 2).
* So, divide the top number by 2: $2 \div 2 = 1$.
* Answer:
1
11. $\frac{4}{8} = \frac{?}{4}$
* The bottom number goes from 8 to 4 (divided by 2).
* So, divide the top number by 2: $4 \div 2 = 2$.
* Answer:
2
12. $\frac{4}{12} = \frac{?}{6}$
* The bottom number goes from 12 to 6 (divided by 2).
* So, divide the top number by 2: $4 \div 2 = 2$.
* Answer:
2
Final Answer:
The missing numbers are:
2, 2, 4
4, 4, 1
4, 1, 1
1, 2, 2
Parent Tip: Review the logic above to help your child master the concept of fractions for 3rd graders free worksheet.
