To find the missing numbers in equivalent fractions, we need to figure out what number the top (numerator) and bottom (denominator) were multiplied or divided by. Whatever you do to the top, you must also do to the bottom.
Here is the step-by-step solution for each problem:
1) $\frac{5}{10} = \frac{?}{90}$
* Look at the bottoms: $10 \times 9 = 90$.
* Do the same to the top: $5 \times 9 = 45$.
* Answer:
45
2) $\frac{2}{4} = \frac{?}{20}$
* Look at the bottoms: $4 \times 5 = 20$.
* Do the same to the top: $2 \times 5 = 10$.
* Answer:
10
3) $\frac{3}{7} = \frac{?}{28}$
* Look at the bottoms: $7 \times 4 = 28$.
* Do the same to the top: $3 \times 4 = 12$.
* Answer:
12
4) $\frac{?}{15} = \frac{8}{3}$
* Look at the bottoms: To get from 3 to 15, we multiply by 5 ($3 \times 5 = 15$).
* Do the same to the top: $8 \times 5 = 40$.
* Answer:
40
5) $\frac{9}{2} = \frac{?}{40}$
* Look at the bottoms: $2 \times 20 = 40$.
* Do the same to the top: $9 \times 20 = 180$.
* Answer:
180
6) $\frac{6}{?} = \frac{30}{45}$
* Look at the tops: To get from 30 to 6, we divide by 5 ($30 \div 5 = 6$).
* Do the same to the bottom: $45 \div 5 = 9$.
* Answer:
9
7) $\frac{?}{27} = \frac{7}{9}$
* Look at the bottoms: $9 \times 3 = 27$.
* Do the same to the top: $7 \times 3 = 21$.
* Answer:
21
8) $\frac{39}{12} = \frac{13}{?}$
* Look at the tops: To get from 39 to 13, we divide by 3 ($39 \div 3 = 13$).
* Do the same to the bottom: $12 \div 3 = 4$.
* Answer:
4
9) $\frac{10}{3} = \frac{?}{27}$
* Look at the bottoms: $3 \times 9 = 27$.
* Do the same to the top: $10 \times 9 = 90$.
* Answer:
90
10) $\frac{1}{6} = \frac{?}{54}$
* Look at the bottoms: $6 \times 9 = 54$.
* Do the same to the top: $1 \times 9 = 9$.
* Answer:
9
11) $\frac{4}{4} = \frac{?}{12}$
* Look at the bottoms: $4 \times 3 = 12$.
* Do the same to the top: $4 \times 3 = 12$.
* Answer:
12
12) $\frac{1}{2} = \frac{5}{?}$
* Look at the tops: $1 \times 5 = 5$.
* Do the same to the bottom: $2 \times 5 = 10$.
* Answer:
10
13) $\frac{4}{12} = \frac{?}{6}$
* Look at the bottoms: To get from 12 to 6, we divide by 2 ($12 \div 2 = 6$).
* Do the same to the top: $4 \div 2 = 2$.
* Answer:
2
14) $\frac{1}{4} = \frac{?}{48}$
* Look at the bottoms: $4 \times 12 = 48$.
* Do the same to the top: $1 \times 12 = 12$.
* Answer:
12
15) $\frac{1}{7} = \frac{?}{28}$
* Look at the bottoms: $7 \times 4 = 28$.
* Do the same to the top: $1 \times 4 = 4$.
* Answer:
4
Final Answer:
1) 45
2) 10
3) 12
4) 40
5) 180
6) 9
7) 21
8) 4
9) 90
10) 9
11) 12
12) 10
13) 2
14) 12
15) 4
Parent Tip: Review the logic above to help your child master the concept of printable math worksheets equivalent fractions.
