To convert a fraction to a percentage using the denominator method, we need to change the bottom number (denominator) of the fraction to 100. Whatever we do to the bottom number, we must also do to the top number (numerator).
Here is the step-by-step solution for each problem:
1) $\frac{1}{2}$
* To get from 2 to 100, multiply by 50.
* Multiply the top by 50: $1 \times 50 = 50$.
* Answer:
50%
2) $\frac{3}{10}$
* To get from 10 to 100, multiply by 10.
* Multiply the top by 10: $3 \times 10 = 30$.
* Answer:
30%
3) $\frac{7}{10}$
* To get from 10 to 100, multiply by 10.
* Multiply the top by 10: $7 \times 10 = 70$.
* Answer:
70%
4) $\frac{1}{4}$
* To get from 4 to 100, multiply by 25.
* Multiply the top by 25: $1 \times 25 = 25$.
* Answer:
25%
5) $\frac{1}{5}$
* To get from 5 to 100, multiply by 20.
* Multiply the top by 20: $1 \times 20 = 20$.
* Answer:
20%
6) $\frac{3}{4}$
* To get from 4 to 100, multiply by 25.
* Multiply the top by 25: $3 \times 25 = 75$.
* Answer:
75%
7) $\frac{2}{5}$
* To get from 5 to 100, multiply by 20.
* Multiply the top by 20: $2 \times 20 = 40$.
* Answer:
40%
8) $\frac{9}{10}$
* To get from 10 to 100, multiply by 10.
* Multiply the top by 10: $9 \times 10 = 90$.
* Answer:
90%
9) $\frac{1}{20}$
* To get from 20 to 100, multiply by 5.
* Multiply the top by 5: $1 \times 5 = 5$.
* Answer:
5%
10) $\frac{4}{5}$
* To get from 5 to 100, multiply by 20.
* Multiply the top by 20: $4 \times 20 = 80$.
* Answer:
80%
11) $\frac{7}{20}$
* To get from 20 to 100, multiply by 5.
* Multiply the top by 5: $7 \times 5 = 35$.
* Answer:
35%
12) $\frac{7}{50}$
* To get from 50 to 100, multiply by 2.
* Multiply the top by 2: $7 \times 2 = 14$.
* Answer:
14%
13) $\frac{4}{25}$
* To get from 25 to 100, multiply by 4.
* Multiply the top by 4: $4 \times 4 = 16$.
* Answer:
16%
14) $\frac{9}{20}$
* To get from 20 to 100, multiply by 5.
* Multiply the top by 5: $9 \times 5 = 45$.
* Answer:
45%
15) $\frac{11}{50}$
* To get from 50 to 100, multiply by 2.
* Multiply the top by 2: $11 \times 2 = 22$.
* Answer:
22%
16) $\frac{6}{5}$
* To get from 5 to 100, multiply by 20.
* Multiply the top by 20: $6 \times 20 = 120$.
* Answer:
120%
17) $\frac{5}{2}$
* To get from 2 to 100, multiply by 50.
* Multiply the top by 50: $5 \times 50 = 250$.
* Answer:
250%
18) $\frac{7}{4}$
* To get from 4 to 100, multiply by 25.
* Multiply the top by 25: $7 \times 25 = 175$.
* Answer:
175%
Final Answer:
1) 50%
2) 30%
3) 70%
4) 25%
5) 20%
6) 75%
7) 40%
8) 90%
9) 5%
10) 80%
11) 35%
12) 14%
13) 16%
14) 45%
15) 22%
16) 120%
17) 250%
18) 175%
Parent Tip: Review the logic above to help your child master the concept of percent to fraction worksheet.
