Question

Arrange the following fractions in descending order
$p=\frac{4}{5}$ ,$q=\frac{5}{7}$ ,$r=\frac{4}{3}$ , $s=\frac{9}{8}$ , $t=\frac{4}{7}$

• A. $r>s>p>q>t$
• B. $t>s>q>p>r$
• C. $r>t>s>p>q$
• D. $q>t>r>s>p$

Answer 1

Answer: (A)

$r>s>p>q>t$

Answer 2

To arrange the fractions $p=\frac{4}{5}$ ,$q=\frac{5}{7}$ ,$r=\frac{4}{3}$ , $s=\frac{9}{8}$ , $t=\frac{4}{7}$ in descending order, we can convert them to decimals for easier comparison

$p=\frac{4}{5}=0.8$

$q=\frac{5}{7}\approx0.7143$

$r=\frac{4}{3}\approx1.3333$

$s=\frac{9}{8}=1.125$

$t=\frac{4}{7}\approx0.5714$

Now, we can compare the decimal values:

$r\approx1.3333$

$s=1.125$

$p=0.8$

$q\approx0.7143$

$t\approx0.7143$

Arranging these from largest to smallest gives us:
Descending order: $r>s>p>q>t$
The correct option is (A):$r>s>p>q>t$