Fractions Ascending Order Comparison
To find the fractions in ascending order, we need to arrange them from the smallest value to the largest value. We can compare fractions by converting them to decimals or finding a common denominator. Converting to decimals is often simpler for comparison.
Decimal Conversion of Fractions
Let's convert each fraction provided in the options to its decimal form:
| Fraction | Decimal Value |
$\frac{3}{8}$ | 0.375 |
$\frac{2}{5}$ | 0.4 |
$\frac{9}{11}$ | ~0.81818... |
$\frac{5}{6}$ | ~0.83333... |
$\frac{6}{7}$ | ~0.85714... |
Identifying Ascending Order
Now, we check the order of these decimal values for each option:
- Option 1: $\frac{3}{8}, \frac{2}{5}, \frac{9}{11}, \frac{5}{6}, \frac{6}{7}$ Decimal values: $0.375, 0.4, \approx 0.818, \approx 0.833, \approx 0.857$. This sequence is $0.375 < 0.4 < 0.818 < 0.833 < 0.857$. This matches ascending order.
- Option 2: $\frac{2}{5}, \frac{6}{7}, \frac{9}{11}, \frac{3}{8}, \frac{5}{6}$ Decimal values: $0.4, \approx 0.857, \approx 0.818, 0.375, \approx 0.833$. This is not in ascending order ($0.857 > 0.818$ and $0.375 < 0.833$).
- Option 3: $\frac{9}{11}, \frac{6}{7}, \frac{5}{6}, \frac{2}{5}, \frac{3}{8}$ Decimal values: $\approx 0.818, \approx 0.857, \approx 0.833, 0.4, 0.375$. This is not in ascending order (it's closer to descending).
- Option 4: $\frac{6}{7}, \frac{5}{6}, \frac{9}{11}, \frac{2}{5}, \frac{3}{8}$ Decimal values: $\approx 0.857, \approx 0.833, \approx 0.818, 0.4, 0.375$. This is in descending order.
The correct sequence in ascending order is $\frac{3}{8}, \frac{2}{5}, \frac{9}{11}, \frac{5}{6}, \frac{6}{7}$.
Similar Questions
- The numerator of a fraction is increased by $20\%$ and the denominator is decreased by $50\%$. If the resultant fraction is $\frac{5}{6}$, then what will be the original fraction?
- $1.236576576...$
can be written in the form of: - What smallest fraction should be added to $3\frac{2}{3} + 6\frac{7}{12} + 4\frac{9}{36} + 5 + 7\frac{1}{12}$ to make the sum a whole number?
- What is the positive difference between $\frac{5}{16}$ and its reciprocal?
- The sum of the numerator and denominator of a fraction is 11. If the numerator is decreased by 1, the fraction becomes $\frac{1}{4}$. Find the fraction.
- How much does one need to add to $\frac{1}{2}$ to get $2$?
- Solve the following:
$(0.\overline{5} + 0.\overline{6} + 0.\overline{7} + 0.\overline{8}) = ?$ - What is the sum of $\frac{1}{3}$, $\frac{4}{3}$ and $\frac{3}{4}$?
- Four persons A, B, C and D completed a task in $\frac{2}{3} \text{ h}, \frac{3}{4} \text{ h}, \frac{4}{5} \text{ h}$ and $\frac{1}{5} \text{ h}$ respectively. Who among the following took the highest amount of time to complete the task?
- If the numerator of a fraction is increased by 30% and its denominator is decreased by 35%, the value of the fraction becomes $\frac{3}{15}$. Find the original fraction.
Important Questions from Fractions
Which fraction among the following is the least ?
\(\frac{5}{11}, \frac{7}{12}, \frac{8}{13}, \frac{9}{17}\)
Find the value of the following expression:
\(\frac{{3 \div 1 \times 2 + 5 - 2}}{{3 \times 3 - 2}}\)
Simplify the expression 441 ÷ \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)
If the sum of two positive numbers is 65 and the square root of their product is 26, then the sum of their reciprocals is:
The value of \(9 \div [\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\div(\frac{3}{4}-\frac{1}{3})\;of\;\frac{2}{9}]\) is:
