To solve this worksheet on equivalent fractions, we need to find the missing number in each dashed box. The key idea is that equivalent fractions represent the same part of a whole, even though they look different. We can find the missing number by multiplying or dividing both the top (numerator) and bottom (denominator) by the same number.
Let's go through the problems row by row, from left to right.
Row 1:
1.
$\frac{1}{2} = \frac{?}{4}$: To get from the denominator 2 to 4, we multiply by 2. So, we must also multiply the numerator 1 by 2. $1 \times 2 = 2$. The missing number is
2.
2.
$\frac{1}{3} = \frac{?}{6}$: To get from the denominator 3 to 6, we multiply by 2. So, we multiply the numerator 1 by 2. $1 \times 2 = 2$. The missing number is
2.
3.
$\frac{2}{6} = \frac{?}{12}$: To get from the denominator 6 to 12, we multiply by 2. So, we multiply the numerator 2 by 2. $2 \times 2 = 4$. The missing number is
4.
Row 2:
4.
$\frac{1}{2} = \frac{?}{8}$: To get from the denominator 2 to 8, we multiply by 4. So, we multiply the numerator 1 by 4. $1 \times 4 = 4$. The missing number is
4.
5.
$\frac{1}{3} = \frac{?}{12}$: To get from the denominator 3 to 12, we multiply by 4. So, we multiply the numerator 1 by 4. $1 \times 4 = 4$. The missing number is
4.
6.
$\frac{2}{6} = \frac{?}{3}$: To get from the denominator 6 to 3, we divide by 2. So, we divide the numerator 2 by 2. $2 \div 2 = 1$. The missing number is
1.
Row 3:
7.
$\frac{2}{4} = \frac{?}{8}$: To get from the denominator 4 to 8, we multiply by 2. So, we multiply the numerator 2 by 2. $2 \times 2 = 4$. The missing number is
4.
8.
$\frac{4}{8} = \frac{?}{2}$: To get from the denominator 8 to 2, we divide by 4. So, we divide the numerator 4 by 4. $4 \div 4 = 1$. The missing number is
1.
9.
$\frac{4}{12} = \frac{?}{3}$: To get from the denominator 12 to 3, we divide by 4. So, we divide the numerator 4 by 4. $4 \div 4 = 1$. The missing number is
1.
Row 4:
10.
$\frac{2}{4} = \frac{?}{2}$: To get from the denominator 4 to 2, we divide by 2. So, we divide the numerator 2 by 2. $2 \div 2 = 1$. The missing number is
1.
11.
$\frac{4}{8} = \frac{?}{4}$: To get from the denominator 8 to 4, we divide by 2. So, we divide the numerator 4 by 2. $4 \div 2 = 2$. The missing number is
2.
12.
$\frac{4}{12} = \frac{?}{6}$: To get from the denominator 12 to 6, we divide by 2. So, we divide the numerator 4 by 2. $4 \div 2 = 2$. The missing number is
2.
Final Answer:
The missing numbers to fill in the boxes, reading from left to right, top to bottom, 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 3rd grade fractions worksheets.
