Question

Charu paid $₹\frac{3}{4}$ for a eraser. Express the amount he paid in decimal form.

• A. $₹0.25$
• B. $₹0.75$
• C. $₹0.7$
• D. $₹0.65$

Answer 1

The correct option is B $₹0.75$

Let's convert $₹\frac{3}{4}$ to a decimal.

$\frac{3}{4}$ represents $3÷4.$

Step 1: In the given fraction $\frac{3}{4},$ take the numerator digit 3 as a dividend and the denominator digit 4 as the divisor.


Step 2: Here, denominator > numerator.

We have to make the dividend digit (3) greater than the divisor digit (4) by placing 0 next to the 3 and to the quotient respectively.

Now we have 30 as a new dividend. (30>4).


Step 3: In the quotient part, it is important to insert decimal (.) after 0 and start the division.


Step 4: Multiply 4 with a number so that the product is less than or equal to 30.

$4\times \underset{–}{7}=28$. Now, the quotient is 7 and the remainder left is 2.


After introducing a decimal point in the quotient we can introduce one 0 at each step of division.

Step 5: Now, the new dividend is 20. Multiply 4 with a number so that the product is less than equal to 20.

$4\times 5=20$. Here now the quotient is 5 and the leftover remainder is 0.

$\therefore \frac{3}{4}$ can be written as $\mathrm{0.75.}$

So, Charu paid $₹0.75$ for the eraser.