To convert a fraction to a percentage, you multiply the fraction by 100. Here are the step-by-step solutions for each problem on the worksheet:
2) $\frac{20}{34}$
* First, simplify the fraction: $\frac{20 \div 2}{34 \div 2} = \frac{10}{17}$
* Multiply by 100: $\frac{10}{17} \times 100 = \frac{1000}{17}$
* Divide: $1000 \div 17 \approx 58.82$
* Answer:
58.82% (or $58\frac{14}{17}\%$)
3) $\frac{27}{33}$
* Simplify the fraction (divide by 3): $\frac{9}{11}$
* Multiply by 100: $\frac{9}{11} \times 100 = \frac{900}{11}$
* Divide: $900 \div 11 = 81.8181...$
* Answer:
81.82% (repeating)
4) $\frac{6}{7}$
* Multiply by 100: $\frac{600}{7}$
* Divide: $600 \div 7 \approx 85.71$
* Answer:
85.71%
5) $\frac{7}{12}$
* Multiply by 100: $\frac{700}{12}$
* Divide: $700 \div 12 = 58.333...$
* Answer:
58.33%
6) $\frac{17}{57}$
* Multiply by 100: $\frac{1700}{57}$
* Divide: $1700 \div 57 \approx 29.82$
* Answer:
29.82%
7) $\frac{5}{6}$
* Multiply by 100: $\frac{500}{6}$
* Divide: $500 \div 6 = 83.333...$
* Answer:
83.33%
8) $\frac{6}{20}$
* Simplify or just divide: $6 \div 20 = 0.3$
* Multiply by 100: $0.3 \times 100 = 30$
* Answer:
30%
9) $\frac{10}{21}$
* Multiply by 100: $\frac{1000}{21}$
* Divide: $1000 \div 21 \approx 47.62$
* Answer:
47.62%
10) $\frac{9}{20}$
* Multiply by 100: $\frac{900}{20}$
* Divide: $900 \div 20 = 45$
* Answer:
45%
11) $\frac{8}{10}$
* This is the same as 0.8.
* Multiply by 100: $0.8 \times 100 = 80$
* Answer:
80%
12) $\frac{29}{58}$
* Notice that 29 is exactly half of 58.
* $\frac{29}{58} = \frac{1}{2}$
* $\frac{1}{2} = 0.5 = 50\%$
* Answer:
50%
13) $\frac{13}{20}$
* Multiply by 100: $\frac{1300}{20}$
* Divide: $1300 \div 20 = 65$
* Answer:
65%
14) $\frac{39}{52}$
* Both numbers are divisible by 13.
* $39 \div 13 = 3$ and $52 \div 13 = 4$. So, $\frac{3}{4}$.
* $\frac{3}{4} = 0.75$
* Answer:
75%
15) $\frac{25}{51}$
* Multiply by 100: $\frac{2500}{51}$
* Divide: $2500 \div 51 \approx 49.02$
* Answer:
49.02%
16) $\frac{36}{50}$
* To make the denominator 100, multiply top and bottom by 2.
* $\frac{36 \times 2}{50 \times 2} = \frac{72}{100}$
* Answer:
72%
17) $\frac{24}{30}$
* Simplify by dividing by 6: $\frac{4}{5}$
* $\frac{4}{5} = 0.8$
* Answer:
80%
18) $\frac{36}{46}$
* Simplify by dividing by 2: $\frac{18}{23}$
* Multiply by 100: $\frac{1800}{23}$
* Divide: $1800 \div 23 \approx 78.26$
* Answer:
78.26%
Final Answer:
2) 58.82%
3) 81.82%
4) 85.71%
5) 58.33%
6) 29.82%
7) 83.33%
8) 30%
9) 47.62%
10) 45%
11) 80%
12) 50%
13) 65%
14) 75%
15) 49.02%
16) 72%
17) 80%
18) 78.26%
Parent Tip: Review the logic above to help your child master the concept of changing fractions to percentages worksheet.
