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

The Correct Option is A

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):\(r>s>p>q>t\)