Question : Which fraction among $\frac{3}{7}$, $\frac{5}{11}$ and $\frac{6}{13}$ is the largest?
Option 1: $\frac{3}{7}$
Option 2: $\frac{5}{11}$
Option 3: $\frac{6}{13}$
Option 4: All are equal
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Correct Answer: $\frac{6}{13}$
Solution : Given fractions are $\frac{3}{7}$, $\frac{5}{11}$, $\frac{6}{13}$ Approximate values are: $\frac{3}{7}$ $\approx$ 0.43 $\frac{5}{11}$ $\approx$ 0.45 $\frac{6}{13}$ $\approx$ 0.46 By comparing the approximate values we get, $\frac{6}{13}$ is the largest. Hence, the correct answer is $\frac{6}{13}$.
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Question : Which fraction among $\frac{2}{3}$,$\frac{4}{5}$ and $\frac{7}{11}$ is the largest?
Option 1: $\frac{2}{3}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{7}{11}$
Question : When 8 is added to the numerator of a fraction and 12 is added to its denominator, the fraction becomes $\frac{1}{2}$. When 2 is subtracted from its numerator and denominator, the fraction becomes $\frac{1}{8}$. Find the original fraction.
Option 1: $\frac{9}{19}$
Option 2: $\frac{3}{10}$
Option 3: $\frac{4}{7}$
Option 4: $\frac{5}{11}$
Question : What is the value of $\frac{132}{11} \times \frac{13}{12} \div \frac{169}{14}-\frac{1}{13}?$
Option 1: 5
Option 2: 6
Option 3: 3
Option 4: 1
Question : The value of $\frac{2}{3} \times \frac{6}{5} \times \frac{10}{4}+\frac{1}{8}-\frac{3}{8}$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{3}{4}$
Option 4: $\frac{7}{4}$
Question : What is the value of $\frac{7}{8}+\frac{8}{11}$ of $[\frac{33}{16}-\frac{5}{12}+(\frac{6}{11}-\frac{5}{12}+\frac{7}{22})] ?$
Option 1: $\frac{6871}{3605}$
Option 2: $\frac{6805}{2987}$
Option 3: $\frac{6907}{3971}$
Option 4: $\frac{6961}{2904}$
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