Question

Choose the option that represents the ascending order of the fractions given below correctly.

$\frac{8}{9},\frac{5}{9},\frac{7}{9}$

• A. $\frac{8}{9}<\frac{7}{9}<\frac{5}{9}$
• B. $\frac{5}{9}<\frac{8}{9}<\frac{7}{9}$
• C. $\frac{8}{9}>\frac{7}{9}>\frac{5}{9}$
• D. $\frac{5}{9}<\frac{7}{9}<\frac{8}{9}$

Answer 1

The correct option is D $\frac{5}{9}<\frac{7}{9}<\frac{8}{9}$

Given:
$\frac{8}{9},\frac{5}{9},\frac{7}{9}$

If the given fractions are like fractions, then the fraction with the biggest numerator is the biggest fraction.

The given fractions have the same denominator $\left(9\right)$ and, hence, are like fractions.

Also, $5<7<8$

$\therefore$ The correct ascending order of the given fractions:

$\frac{5}{9}<\frac{7}{9}<\frac{8}{9}$

Note that $\frac{8}{9}>\frac{7}{9}>\frac{5}{9}$ is the correct descending order of the given fractions. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->