Convert Decimals to fractions worksheets - Math Worksheets ... - Free Printable

To convert a decimal to a fraction, we look at the place value of the last digit.
- If it ends in the tenths place (one decimal digit), the denominator is 10.
- If it ends in the hundredths place (two decimal digits), the denominator is 100.

Then, we simplify the fraction if possible by dividing the top and bottom numbers by their greatest common divisor. For mixed numbers, we keep the whole number part separate and only convert the decimal part.

Here are the step-by-step conversions:

1. 25.2: The 2 is in the tenths place. So, $25 \frac{2}{10}$. Simplify $\frac{2}{10}$ by dividing by 2 to get $\frac{1}{5}$. Result: $25 \frac{1}{5}$
2. 53.07: The 7 is in the hundredths place. So, $53 \frac{7}{100}$. This cannot be simplified further. Result: $53 \frac{7}{100}$
3. 7.52: The 2 is in the hundredths place. So, $7 \frac{52}{100}$. Divide top and bottom by 4 ($52 \div 4 = 13$, $100 \div 4 = 25$). Result: $7 \frac{13}{25}$
4. 9.9: The 9 is in the tenths place. So, $9 \frac{9}{10}$. Cannot be simplified. Result: $9 \frac{9}{10}$
5. 95.1: The 1 is in the tenths place. So, $95 \frac{1}{10}$. Cannot be simplified. Result: $95 \frac{1}{10}$
6. 12.5: The 5 is in the tenths place. So, $12 \frac{5}{10}$. Simplify $\frac{5}{10}$ by dividing by 5 to get $\frac{1}{2}$. Result: $12 \frac{1}{2}$
7. 18.9: The 9 is in the tenths place. So, $18 \frac{9}{10}$. Cannot be simplified. Result: $18 \frac{9}{10}$
8. 74.6: The 6 is in the tenths place. So, $74 \frac{6}{10}$. Simplify $\frac{6}{10}$ by dividing by 2 to get $\frac{3}{5}$. Result: $74 \frac{3}{5}$
9. 75.5: The 5 is in the tenths place. So, $75 \frac{5}{10}$. Simplify $\frac{5}{10}$ by dividing by 5 to get $\frac{1}{2}$. Result: $75 \frac{1}{2}$
10. 25.04: The 4 is in the hundredths place. So, $25 \frac{4}{100}$. Simplify $\frac{4}{100}$ by dividing by 4 to get $\frac{1}{25}$. Result: $25 \frac{1}{25}$
11. 86.92: The 2 is in the hundredths place. So, $86 \frac{92}{100}$. Divide top and bottom by 4 ($92 \div 4 = 23$, $100 \div 4 = 25$). Result: $86 \frac{23}{25}$
12. 80.34: The 4 is in the hundredths place. So, $80 \frac{34}{100}$. Divide top and bottom by 2 ($34 \div 2 = 17$, $100 \div 2 = 50$). Result: $80 \frac{17}{50}$
13. 98.32: The 2 is in the hundredths place. So, $98 \frac{32}{100}$. Divide top and bottom by 4 ($32 \div 4 = 8$, $100 \div 4 = 25$). Result: $98 \frac{8}{25}$
14. 38.31: The 1 is in the hundredths place. So, $38 \frac{31}{100}$. Cannot be simplified (31 is prime). Result: $38 \frac{31}{100}$
15. 95.2: The 2 is in the tenths place. So, $95 \frac{2}{10}$. Simplify $\frac{2}{10}$ by dividing by 2 to get $\frac{1}{5}$. Result: $95 \frac{1}{5}$
16. 70.64: The 4 is in the hundredths place. So, $70 \frac{64}{100}$. Divide top and bottom by 4 ($64 \div 4 = 16$, $100 \div 4 = 25$). Result: $70 \frac{16}{25}$

Final Answer:
1. $25 \frac{1}{5}$
2. $53 \frac{7}{100}$
3. $7 \frac{13}{25}$
4. $9 \frac{9}{10}$
5. $95 \frac{1}{10}$
6. $12 \frac{1}{2}$
7. $18 \frac{9}{10}$
8. $74 \frac{3}{5}$
9. $75 \frac{1}{2}$
10. $25 \frac{1}{25}$
11. $86 \frac{23}{25}$
12. $80 \frac{17}{50}$
13. $98 \frac{8}{25}$
14. $38 \frac{31}{100}$
15. $95 \frac{1}{5}$
16. $70 \frac{16}{25}$