Question

Compare the fractions and put an appropriate sign.
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> (a) $\frac{3}{6}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{5}{6}$

(b) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{1}{7}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{1}{4}$

(c) $\frac{4}{5}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{5}{5}$

(d) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{3}{5}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{3}{7}$

Answer 1

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> (a) $\frac{3}{6}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{5}{6}$

In case of like fractions, fraction with the greater numerator is greater.
Thus, $\frac{3}{6}$ < $\frac{5}{6}$

(b) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{1}{7}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{1}{4}$.

In case of unlike fractions with same numerators, fraction with the greater denominator is smaller.

Thus, $\frac{1}{7}$ < $\frac{1}{4}$.

(c) $\frac{4}{5}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{5}{5}$

In case of like fractions, fraction with the greater numerator is greater.
Thus, $\frac{4}{5}$ < <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{5}{5}$

(d) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{3}{5}$ ...... <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{3}{7}$

In case of unlike fractions with same numerators, fraction with the greater denominator is smaller.

Thus, $\frac{3}{5}$ > $\frac{3}{7}$