To simplify 0.48 to a fraction, you don't need to be a math whiz. With just a few easy steps, you can convert this decimal into a fraction that's easy to work with.
Step 1: Identify the Decimal Places
When you look at the decimal 0.48, you'll notice that it has two decimal places. This means that the number can be expressed as 48 hundredths.
Express 0.48 as a Fraction
To express 0.48 as a fraction, you can write it as 48/100. This is because there are 100 hundredths in one whole.
Step 2: Simplify the Fraction
Now that you have the fraction 48/100, you can simplify it by finding the greatest common divisor (GCD) of 48 and 100. The GCD is the largest number that divides both 48 and 100 without leaving a remainder.
Find the Greatest Common Divisor
To find the GCD, you can list the factors of 48 and 100:
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
The greatest common divisor of 48 and 100 is 4.
Step 3: Divide Both Numbers by the GCD
Now that you have the GCD, you can simplify the fraction by dividing both numbers by 4:
- 48 ÷ 4 = 12
- 100 ÷ 4 = 25
So, the simplified fraction is 12/25.
Celebrate Your Success!
Congratulations! You have successfully simplified 0.48 to a fraction in three easy steps. The answer is 12/25.
What is the simplified fraction of 0.48?
+The simplified fraction of 0.48 is 12/25.
How do I simplify a decimal to a fraction?
+To simplify a decimal to a fraction, identify the decimal places, express the number as a fraction, and simplify the fraction by finding the greatest common divisor.
What is the greatest common divisor of 48 and 100?
+The greatest common divisor of 48 and 100 is 4.