Here are the solutions to convert each decimal into a simplified fraction.
1. 0.24
Write as $\frac{24}{100}$. Both numbers can be divided by 4.
$24 \div 4 = 6$
$100 \div 4 = 25$
Answer: $\frac{6}{25}$
2. 0.35
Write as $\frac{35}{100}$. Both numbers can be divided by 5.
$35 \div 5 = 7$
$100 \div 5 = 20$
Answer: $\frac{7}{20}$
3. 0.79
Write as $\frac{79}{100}$. This cannot be simplified further.
Answer: $\frac{79}{100}$
4. 0.02
Write as $\frac{2}{100}$. Both numbers can be divided by 2.
$2 \div 2 = 1$
$100 \div 2 = 50$
Answer: $\frac{1}{50}$
5. 0.7
Write as $\frac{7}{10}$. This is already in simplest form.
Answer: $\frac{7}{10}$
6. 0.82
Write as $\frac{82}{100}$. Both numbers can be divided by 2.
$82 \div 2 = 41$
$100 \div 2 = 50$
Answer: $\frac{41}{50}$
7. 0.21
Write as $\frac{21}{100}$. This cannot be simplified further.
Answer: $\frac{21}{100}$
8. 0.46
Write as $\frac{46}{100}$. Both numbers can be divided by 2.
$46 \div 2 = 23$
$100 \div 2 = 50$
Answer: $\frac{23}{50}$
9. 0.12
Write as $\frac{12}{100}$. Both numbers can be divided by 4.
$12 \div 4 = 3$
$100 \div 4 = 25$
Answer: $\frac{3}{25}$
10. 0.99
Write as $\frac{99}{100}$. This cannot be simplified further.
Answer: $\frac{99}{100}$
11. 1.6
Write as $1 \frac{6}{10}$. Simplify the fraction part by dividing by 2.
$\frac{6}{10} = \frac{3}{5}$
Answer: $1 \frac{3}{5}$ (or $\frac{8}{5}$)
12. 2.4
Write as $2 \frac{4}{10}$. Simplify the fraction part by dividing by 2.
$\frac{4}{10} = \frac{2}{5}$
Answer: $2 \frac{2}{5}$ (or $\frac{12}{5}$)
13. 3.1
Write as $3 \frac{1}{10}$. This is already simplified.
Answer: $3 \frac{1}{10}$ (or $\frac{31}{10}$)
14. 4.4
Write as $4 \frac{4}{10}$. Simplify the fraction part by dividing by 2.
$\frac{4}{10} = \frac{2}{5}$
Answer: $4 \frac{2}{5}$ (or $\frac{22}{5}$)
15. 2.8
Write as $2 \frac{8}{10}$. Simplify the fraction part by dividing by 2.
$\frac{8}{10} = \frac{4}{5}$
Answer: $2 \frac{4}{5}$ (or $\frac{14}{5}$)
16. 1.7
Write as $1 \frac{7}{10}$. This is already simplified.
Answer: $1 \frac{7}{10}$ (or $\frac{17}{10}$)
17. 6.5
Write as $6 \frac{5}{10}$. Simplify the fraction part by dividing by 5.
$\frac{5}{10} = \frac{1}{2}$
Answer: $6 \frac{1}{2}$ (or $\frac{13}{2}$)
18. 1.17
Write as $1 \frac{17}{100}$. This cannot be simplified further.
Answer: $1 \frac{17}{100}$ (or $\frac{117}{100}$)
19. 6.2
Write as $6 \frac{2}{10}$. Simplify the fraction part by dividing by 2.
$\frac{2}{10} = \frac{1}{5}$
Answer: $6 \frac{1}{5}$ (or $\frac{31}{5}$)
20. 1.23
Write as $1 \frac{23}{100}$. This cannot be simplified further.
Answer: $1 \frac{23}{100}$ (or $\frac{123}{100}$)
Final Answer:
1. 6/25
2. 7/20
3. 79/100
4. 1/50
5. 7/10
6. 41/50
7. 21/100
8. 23/50
9. 3/25
10. 99/100
11. 1 3/5
12. 2 2/5
13. 3 1/10
14. 4 2/5
15. 2 4/5
16. 1 7/10
17. 6 1/2
18. 1 17/100
19. 6 1/5
20. 1 23/100
Parent Tip: Review the logic above to help your child master the concept of converting fractions to decimals worksheet 6th grade.
