Converting a decimal like 0.2 into a fraction is a straightforward process. Here’s a step-by-step guide to help you understand:
- Identify the decimal: In this case, our decimal is 0.2.
- Write it as a fraction: You can write 0.2 as 2 over 10 because the digit ‘2’ is in the tenths place. So, we have:
- Simplify the fraction: Next, we can simplify 2/10 by dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor, which is 2:
0.2 = 2/10
2 ÷ 2 = 1 and 10 ÷ 2 = 5. So,
2/10 simplifies to 1/5.
In conclusion, 0.2 as a fraction is 1/5. This fraction represents the same value as the decimal, just expressed in a different format. Understanding how to convert decimals to fractions can be really useful in various mathematical applications!