NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Multiple Choice QuestionsQuestion 7
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Multiple Choice Questions
Question. 7
Which of the following fractions is the greatest?
(A)
\(\tfrac{5}{7}\)
(B)
\(\tfrac{5}{6}\)
(C)
\(\tfrac{5}{9}\)
(D)
\(\tfrac{5}{8}\)
Detailed Answer with Explanation:
All the fractions have the same numerator: (5).
Rule: When numerators are the same, the fraction with the smaller denominator is larger.
Compare denominators:
(6 < 7 < 8 < 9)
So the order is:
( frac{5}{6} > frac{5}{7} > frac{5}{8} > frac{5}{9})
Therefore, the greatest fraction is ( frac{5}{6}).
Quick check (decimals):
- ( frac{5}{6} approx 0.83)
- ( frac{5}{7} approx 0.71)
- ( frac{5}{8} = 0.625)
- ( frac{5}{9} approx 0.56)