NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Multiple Choice Questions
Question 2

Question. 2

The two consecutive integers between which \(\tfrac{5}{7}\) lies are

(A)

5 and 6

(B)

0 and 1

(C)

5 and 7

(D)

6 and 7

Look at the fraction ( frac{5}{7}). It is a proper fraction because (5<7).
If the numerator is smaller than the denominator, the value is less than (1). So ( frac{5}{7}<1).
The fraction is positive. So its value is greater than (0). Thus (0< frac{5}{7}).
Combine the two results: (0< frac{5}{7}<1).
Therefore, the two consecutive integers between which ( frac{5}{7}) lies are (0) and (1).
Optional check: ( frac{5}{7}approx 0.71), which is between (0) and (1).