$\frac{7}{9}, \frac{6}{7}, \frac{22}{25}, \text{ and } \frac{11}{13}$
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
- $1.236576576...$
can be written in the form of: - 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?
- The value of $\frac{4}{3} + \left( \frac{1}{1 + \frac{5}{6}} \right) - \frac{5}{4}$ is
What is the value of
$\frac{7}{9} - \frac{11}{12} + \frac{13}{16} - \frac{1}{8}$?
- How much does one need to add to $\frac{1}{2}$ to get $2$?
- 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.
- 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.
- Two-fifth of seven-seventeenth of three-fifth of a number is 84. Find 40% of that number.
- A beautician's income includes her salary and the tips she gets for her services. During a particular week, if her tips were $\frac{5}{4}$ of her salary, then what fraction of her income came from the tips?
Important Questions from Fractions
5 \(\frac{3}{4}\) + x + 2 \(\frac{1}{2}\) = 10 \(\frac{1}{8}\) Find the value of x.
Simplify the expression 441 ÷ \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)
Number 0.232323 can be written in rational form as:
Solve: \(\frac{1}{2}\) [{-2(2 + 3)*20}/2]
Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
\(\frac{21}{36}\)
d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
