Question

Select the correct order of fractions.

• A. $\frac{10}{11}>\frac{7}{9}$
• B. $\frac{10}{11}<\frac{7}{9}$
• C. $\frac{10}{11}=\frac{7}{9}$

Answer 1

The correct option is A $\frac{10}{11}>\frac{7}{9}$

To comapre the fractions we have to convert the fractions into the like fractions.
To convert into like fractions, we multiply the denominator of one fraction with the numerator and denominator of the other fraction.

$\frac{10}{11}=\frac{10\times 9}{11\times 9}=\frac{90}{99}$

$\frac{7}{9}=\frac{7\times 11}{9\times 11}=\frac{77}{99}$

The order of numerators: 90 > 77
On comparing $\frac{90}{99}$ and $\frac{77}{99}$ , we see that $\frac{90}{99}$ is the larger fraction.

$\frac{77}{99}<\frac{90}{99}\to \frac{7}{9}<\frac{10}{11}$

$\therefore$ Option B is the correct answer