$\frac{7}{9}, \frac{6}{7}, \frac{22}{25}, \text{ and } \frac{11}{13}$
The question asks to identify the largest fraction among the given options: $\frac{7}{9}, \frac{6}{7}, \frac{22}{25}, \text{ and } \frac{11}{13}$.
Comparing Fractions: Identifying the Largest Value
To find the largest fraction, we can convert each fraction into its decimal form. This allows for a direct comparison of their values.
Method: Decimal Conversion
Convert each fraction to a decimal:
- Fraction $\frac{7}{9}$: $7 \div 9 = 0.777...$
- Fraction $\frac{6}{7}$: $6 \div 7 \approx 0.85714...$
- Fraction $\frac{22}{25}$: $22 \div 25 = 0.88$
- Fraction $\frac{11}{13}$: $11 \div 13 \approx 0.84615...$
Decimal Comparison
Now, compare the decimal values obtained:
- $0.777...$
- $0.857...$
- $0.88$
- $0.846...$
Comparing these decimals, we can see that $0.88$ is the largest value.
Identifying the Largest Fraction
The decimal $0.88$ corresponds to the fraction $\frac{22}{25}$. Therefore, $\frac{22}{25}$ is the largest fraction among the given options.
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:
