To determine which of the two fractions, [tex]\(\frac{1}{5}\)[/tex] or [tex]\(\frac{1}{10}\)[/tex], is bigger, let's compare them step by step.
1. Understand the Fractions:
- [tex]\(\frac{1}{5}\)[/tex] means that 1 is divided into 5 equal parts.
- [tex]\(\frac{1}{10}\)[/tex] means that 1 is divided into 10 equal parts.
2. Visualize the Denominators:
- When you divide something into 5 parts, each part is larger than if you divided it into 10 parts.
- So, [tex]\(\frac{1}{5}\)[/tex] should be greater than [tex]\(\frac{1}{10}\)[/tex], since the size of each part in [tex]\(\frac{1}{5}\)[/tex] is bigger.
3. Numerical Conversion:
- [tex]\(\frac{1}{5}\)[/tex] converts to 0.2 in decimal form.
- [tex]\(\frac{1}{10}\)[/tex] converts to 0.1 in decimal form.
4. Compare the Decimals:
- 0.2 is greater than 0.1.
Therefore, the bigger fraction between [tex]\(\frac{1}{5}\)[/tex] and [tex]\(\frac{1}{10}\)[/tex] is [tex]\(\frac{1}{5}\)[/tex].
