Question

Find the product or quotient.

$\frac{24.32}{3.2}$

Short answer

The value of the expression is $7.6$.

Step-by-step solution

Step-1 – Apply the concept of quotient

When a number is divided by another number, it gives a resulting number. The number, that is being divided is called dividend. The number, by which the dividend is being divided is called divisor. And the resulting number found by division is known as quotient

Step-2 – Apply the concept for division of decimals

To find the quotient of the decimal numbers, first make the numbers decimal free by adding 0’s to the right side to make the equal digits after decimal and then remove decimal.

Step-3 – Evaluate the expression

To find the quotient $\frac{24.32}{3.2}$, first make the divisor decimal free by adding 0’s or removing equivalent digits of decimal from dividend.

Here observe that the divisor (denominator) has one digit after decimal, so to make it decimal free shift the decimal in dividend (numerator) to one digit right side as well. And then divide them normally as shown below,

$327.6\begin{array}{l}243.2\\ \underset{¯}{224}\\ 192\\ \underset{¯}{192}\\ 0\end{array}$

Thus, the quotient of the numbers is $7.6$.