Converting Decimals to Fractions

Converting decimals to fractions may seem tricky at first, but it's easy if you follow these simple steps. Let’s break it down step by step!

Step 1: Identify the Decimal

Let's say you have a decimal, for example, 0.75.

Step 2: Write the Decimal as a Fraction

To convert the decimal to a fraction, you can write it over 1. So, 0.75 becomes 0.75/1.

Step 3: Remove the Decimal Point

To eliminate the decimal point, we need to multiply both the numerator and the denominator by the same power of 10. For 0.75, there are 2 decimal places, so we multiply by 100:

0.75 × 100 = 75 and 1 × 100 = 100. So now, we have 75/100.

Step 4: Simplify the Fraction

Now, we simplify 75/100 by finding the greatest common divisor (GCD) of 75 and 100, which is 25:

75 ÷ 25 = 3 and 100 ÷ 25 = 4.

Hence, 75/100 simplifies to 3/4.

Step 5: Final Answer

So, 0.75 as a fraction is 3/4.

Example Practice

Try converting 0.6 to a fraction:

• Write it as 0.6/1.
• Multiply by 10: 0.6 × 10 = 6 and 1 × 10 = 10 → 6/10.
• Simplify 6/10 to 3/5.

So, 0.6 as a fraction is 3/5.

Conclusion

Now you know how to convert decimals to fractions! Just follow these steps, and you'll be able to do it easily. Happy learning!