Converting Decimals Into Fractions

When you see a decimal like 0.2, count how many digits come after the decimal point. That number tells you how many zeros to put in your denominator (bottom number). Since 0.2 has one digit, your fraction will have one zero: $\frac{2}{10}$.

For longer decimals like 0.28, you'll need more zeros. Since 0.28 has two digits after the decimal point, your fraction becomes $\frac{28}{100}$. The digits after the decimal point become your numerator (top number).

Remember This: The number of digits after the decimal point equals the number of zeros in your denominator!

After writing your initial fraction, you should simplify it by finding the greatest common factor (GCF). For $\frac{28}{100}$, list all factors:

• 28: 1, 2, 4, 7, 14, 28
• 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

The GCF is 4, so divide both top and bottom by 4: $\frac{28 ÷ 4}{100 ÷ 4} = \frac{7}{25}$. And that's your final answer!