write any two fraction that are more than 1/8 and less than 1/2
The Correct Answer and Explanation is:
Two fractions that are more than 1/8 and less than 1/2 are:316and25\frac{3}{16} \quad \text{and} \quad \frac{2}{5}163and52
Explanation:
To find fractions that lie between two given fractions, such as 18\frac{1}{8}81 and 12\frac{1}{2}21, it helps to understand their approximate decimal values and how fractions can be compared.
Step 1: Convert the fractions to decimals for better comparison.
- 18=0.125\frac{1}{8} = 0.12581=0.125
- 12=0.5\frac{1}{2} = 0.521=0.5
So, any fraction that is greater than 0.125 and less than 0.5 will satisfy the condition.
Now, consider the first fraction:
- 316=0.1875\frac{3}{16} = 0.1875163=0.1875
This is greater than 0.125 and less than 0.5, so it fits the criteria.
Now, consider the second fraction:
- 25=0.4\frac{2}{5} = 0.452=0.4
Again, this is greater than 0.125 and less than 0.5, so it also fits the condition.
Step 2: Confirm by comparing with the original fractions.
Comparing 316\frac{3}{16}163 with 18\frac{1}{8}81:
- To compare, convert to a common denominator:
- 18=216\frac{1}{8} = \frac{2}{16}81=162
- Since 316>216\frac{3}{16} > \frac{2}{16}163>162, 316>18\frac{3}{16} > \frac{1}{8}163>81
Comparing 316\frac{3}{16}163 with 12\frac{1}{2}21:
- 12=816\frac{1}{2} = \frac{8}{16}21=168
- Since 316<816\frac{3}{16} < \frac{8}{16}163<168, 316<12\frac{3}{16} < \frac{1}{2}163<21
Comparing 25\frac{2}{5}52 with 18\frac{1}{8}81 and 12\frac{1}{2}21:
- 25=0.4\frac{2}{5} = 0.452=0.4
- Clearly, 0.125<0.4<0.50.125 < 0.4 < 0.50.125<0.4<0.5
Thus, both 316\frac{3}{16}163 and 25\frac{2}{5}52 are valid fractions between 18\frac{1}{8}81 and 12\frac{1}{2}21.
This method of converting to decimals or using common denominators is a reliable way to compare fractions and determine their relative sizes.
