.2 as a fraction

2 min read 16-01-2025

Meta Description: Learn how to convert the decimal 0.2 into a fraction. This easy-to-follow guide explains the process step-by-step, including simplifying fractions to their lowest terms. Perfect for students and anyone needing a refresher on decimal-to-fraction conversions! (158 characters)

What is 0.2 as a Fraction?

The decimal 0.2 represents two-tenths. To write 0.2 as a fraction, we simply express this as a fraction: 2/10. This is because the digit 2 is in the tenths place. We'll explore how to simplify this further below.

Converting Decimals to Fractions: A Step-by-Step Guide

Converting decimals to fractions is a straightforward process. Here's how to do it:

Write the decimal as a fraction with a denominator of 1: Start by writing the decimal number (0.2) over 1. This gives you 0.2/1.
Multiply the numerator and denominator to remove the decimal: To eliminate the decimal point, multiply both the numerator and denominator by 10 (since there's one digit after the decimal point). If there were two digits after the decimal point, you'd multiply by 100, and so on. This gives us (0.2 x 10) / (1 x 10) = 2/10.
Simplify the fraction (if possible): The fraction 2/10 can be simplified. Find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 2 and 10 is 2. Divide both the numerator and the denominator by the GCD. This simplifies the fraction to its lowest terms: 2/10 ÷ 2/2 = 1/5.

Therefore, 0.2 as a fraction is 1/5.

Why Simplify Fractions?

Simplifying fractions makes them easier to understand and work with. A simplified fraction represents the same value as the original fraction but in its most concise form.

Common Decimal to Fraction Conversions

Here are a few more examples to help solidify your understanding:

0.5 = 5/10 = 1/2
0.75 = 75/100 = 3/4
0.125 = 125/1000 = 1/8

Practicing Decimal to Fraction Conversions

The best way to master converting decimals to fractions is to practice. Try converting these decimals to fractions:

0.3
0.6
0.45
0.875

Remember the steps: write as a fraction over 1, multiply to remove the decimal, and then simplify. Check your answers against the steps above. You've got this!

Conclusion

Converting a decimal like 0.2 to a fraction is a fundamental math skill. By following the simple steps outlined above, you can confidently convert any decimal to its fractional equivalent. Remember to always simplify your fraction to its lowest terms for the clearest representation. Now you know that 0.2 is equal to the fraction 1/5.