Question

What is 32 divided by 0.25?

Answer 1

Hint:We first convert the given decimal number 0.25 into a fractional format. Then we shall simplify the given expression by using simple multiplication and division.

Complete step-by-step solution:
In order to solve this question, let us first convert 0.25 to a fractional form. This can be represented as a fraction with a denominator of 1.
$\Rightarrow \dfrac{0.25}{1}$
Multiplying both numerator and denominator by 100,
$\Rightarrow \dfrac{0.25\times 100}{1\times 100}$
The denominator simplifies to 100 after multiplication and the numerator gets its decimal point shifted twice to the right since we are multiplying by 100.
$\Rightarrow \dfrac{25}{100}$
Taking the HCF of the two terms which is nothing but 25, we can cancel out this factor from both the numerator and denominator and we obtain,
$\Rightarrow \dfrac{1}{4}$
Now, we substitute this in the expression given in the question which is 32 divided by 0.25.
$\Rightarrow \dfrac{32}{0.25}$
Substituting 0.25 as $\dfrac{1}{4},$
$\Rightarrow \dfrac{32}{\dfrac{1}{4}}$
We know that division by a number is nothing but the multiplication by the inverse of that number.
$\Rightarrow 32\times \dfrac{4}{1}$
We multiply both the terms in the numerator to obtain the answer.
$\Rightarrow 128$
Hence, the value of 32 divided by 0.25 is 128.

Note: It is important to know the basic concepts of conversion from decimals to fractions to simplify the expression in a much easier way. We usually multiply the numerator and denominator by a number which is a power of 10 to remove the decimal point. Then we cancel the common factors for both the numerator and denominator and simplify the fraction. We can also solve this question by direct decimal division.