Here are the solutions for converting the fractions to percentages. I have worked through each one step-by-step to ensure accuracy.
2) $\frac{20}{34}$
* Divide 20 by 34: $20 \div 34 \approx 0.5882$
* Multiply by 100: $58.82\%$
* Answer:
58.8% (rounded to one decimal place)
3) $\frac{27}{33}$
* Simplify first: Both divide by 3, so it becomes $\frac{9}{11}$.
* Divide 9 by 11: $0.8181...$
* Multiply by 100: $81.81...\%$
* Answer:
81.8%
4) $\frac{6}{7}$
* Divide 6 by 7: $0.8571...$
* Multiply by 100: $85.71...\%$
* Answer:
85.7%
5) $\frac{7}{12}$
* Divide 7 by 12: $0.5833...$
* Multiply by 100: $58.33...\%$
* Answer:
58.3%
6) $\frac{17}{57}$
* Divide 17 by 57: $0.2982...$
* Multiply by 100: $29.82...\%$
* Answer:
29.8%
7) $\frac{5}{6}$
* Divide 5 by 6: $0.8333...$
* Multiply by 100: $83.33...\%$
* Answer:
83.3%
8) $\frac{6}{20}$
* This one is easy! Multiply top and bottom by 5 to get over 100.
* $\frac{6 \times 5}{20 \times 5} = \frac{30}{100}$
* Answer:
30%
9) $\frac{10}{21}$
* Divide 10 by 21: $0.4761...$
* Multiply by 100: $47.61...\%$
* Answer:
47.6%
10) $\frac{9}{20}$
* Multiply top and bottom by 5 to get over 100.
* $\frac{9 \times 5}{20 \times 5} = \frac{45}{100}$
* Answer:
45%
11) $\frac{8}{10}$
* Multiply top and bottom by 10 to get over 100.
* $\frac{80}{100}$
* Answer:
80%
12) $\frac{29}{58}$
* Notice that 29 is exactly half of 58 ($29 \times 2 = 58$).
* So the fraction is $\frac{1}{2}$.
* Answer:
50%
13) $\frac{13}{20}$
* Multiply top and bottom by 5.
* $\frac{13 \times 5}{20 \times 5} = \frac{65}{100}$
* Answer:
65%
14) $\frac{39}{52}$
* Both numbers can be divided by 13.
* $39 \div 13 = 3$ and $52 \div 13 = 4$.
* The fraction is $\frac{3}{4}$, which is 0.75.
* Answer:
75%
15) $\frac{25}{51}$
* Divide 25 by 51: $0.4901...$
* Multiply by 100: $49.01...\%$
* Answer:
49.0%
16) $\frac{36}{50}$
* Multiply top and bottom by 2 to get over 100.
* $\frac{36 \times 2}{50 \times 2} = \frac{72}{100}$
* Answer:
72%
17) $\frac{24}{30}$
* Simplify first: Divide both by 6.
* $\frac{24 \div 6}{30 \div 6} = \frac{4}{5}$
* $\frac{4}{5} = 0.8$
* Answer:
80%
18) $\frac{36}{46}$
* Simplify first: Divide both by 2.
* $\frac{18}{23}$
* Divide 18 by 23: $0.7826...$
* Multiply by 100: $78.26...\%$
* Answer:
78.3%
──────────────────────────────────────
Final Answer:
2) 58.8%
3) 81.8%
4) 85.7%
5) 58.3%
6) 29.8%
7) 83.3%
8) 30%
9) 47.6%
10) 45%
11) 80%
12) 50%
13) 65%
14) 75%
15) 49.0%
16) 72%
17) 80%
18) 78.3%
Parent Tip: Review the logic above to help your child master the concept of fraction to percent.
