Question

Arrange the given fractions in descending order.

• A. $\frac{5}{6}$
• B. $\frac{4}{6}$
• C. $\frac{1}{2}$
• D. $\frac{1}{3}$

Answer 1

Comparing $\frac{1}{3}$, $\frac{4}{6}$, and $\frac{1}{2}$ Here fractions have different denominator, so convert them into like fraction
To convert into like fraction we have to make equal denominator
See whether the denominators 2 and 3 are factors of 6. factors of 6 are 1, 2, 3 and 6. So 2 and 3 are factors of 6.

$\frac{1}{3}$ = $\frac{1\times 2}{3\times 2}$ = $\frac{2}{6}$

$\frac{4}{6}$ = $\frac{4\times 1}{6\times 1}$ = $\frac{4}{6}$

$\frac{1}{2}$ = $\frac{1\times 3}{2\times 3}$ = $\frac{3}{6}$

$\frac{5}{6}$ = $\frac{5\times 1}{6\times 6}$ = $\frac{5}{6}$

Look at the frcations $\frac{2}{6}$, $\frac{4}{6}$, $\frac{3}{6}$, and $\frac{5}{6}$
When the denominator is equal the fraction with greater numerator will have greater value
Here $5>4>3>2$

So, $\frac{5}{6}>\frac{4}{6}>\frac{1}{2}>\frac{1}{3}$

Therefore, $\frac{5}{6}>\frac{4}{6}>\frac{1}{2}>\frac{1}{3}$