Question

Fill in the blanks with $>,=$or $<$ sign.

$1\frac{1}{3}\square \frac{3}{5}$

Answer 1

Given : $1\frac{1}{3}\square \frac{3}{5}$

Here we have a mixed fraction, so converting it into an improper fraction.

$1\frac{1}{3}$ $=$$\frac{1\times 3+1}{3}$

$=$$\frac{3+1}{3}$

$=$$\frac{4}{3}$.

Now according to the question we have to compare the two fractions.

$1\frac{1}{3}\square \frac{3}{5}$

$\frac{4}{3}\square \frac{3}{5}$

Using the cross product method

$$\begin{gathered} 4\times 5\square 3\times 3 \\ 20\square 9 \end{gathered}$$

$20>9$

Therefore, $1\frac{1}{3}>\frac{3}{5}$