Question

Compare the following fractions and put an appropriate sign:

(i) $\frac{3}{6}......\frac{5}{6}$
(ii) $\frac{4}{5}......\frac{0}{5}$
(iii) $\frac{3}{20}......\frac{4}{20}$
(iv) $\frac{1}{7}......\frac{1}{4}$

Answer 1

(i) $\frac{3}{6}<\frac{5}{6}$ because 3 < 5 and the denominator is the same.
(ii) $\frac{4}{5}>\frac{0}{5}$ because 4 > 0 and the denominator is the same.
(iii) $\frac{3}{20}<\frac{4}{20}$ because 3 < 4 and the denominator is the same.
(iv) $\frac{1}{7}<\frac{1}{4}$ because 7 > 4; if the numerator is the same, then the fraction that has smaller denominator is greater.