Question

Question 40.
$9\frac{1}{4}-\frac{5}{4}=$___.

Answer 1

8

We have $9\frac{1}{4}$ and $\frac{5}{4}$.

$9\frac{1}{4}$ is a mixed fraction. We first convert the mixed fraction into an improper fraction.

We can convert a mixed fraction $\text{Whole}\frac{\text{Numerator}}{\text{Denominator}}$ using the formula:

$\text{Whole}\frac{\text{Numerator}}{\text{Denominator}}=\frac{\text{Whole number}\times \text{Denominator + Numerator}}{\text{Denominator}}$

On substituting the values we get:

$9\frac{1}{4}=\frac{9\times 4+1}{4}=\frac{37}{4}$

Now, $\frac{37}{4}$ and $\frac{5}{4}$ are like fractions since they have the same denominator.

$\therefore$ $9\frac{1}{4}-\frac{5}{4}=\frac{37}{4}-\frac{5}{4}=\frac{37-5}{4}=\frac{32}{4}=\frac{32÷4}{4÷4}=\frac{8}{1}=8$

($\because$ HCF of 32 and 4 is 4)