What is 0.36 as a fraction?

A fraction is a part of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. Whereas, a decimal number can be defined as a number in which the whole number part and the fractional part are separated by a decimal point. Let us understand what is .36 as a fraction in simplest form and learn how to express 0.36 as a fraction.

Answer: 0.36 can be expressed as 9/25 in the form of a fraction.

Let us see how to express 0.36 as a fraction in simplest form.

0.36 as a Fraction in Simplest Form

Explanation:

In order to express 0.36 simplified as a fraction, let us use the following steps.

Step 1: Write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. Then, this fraction can be simplified.

In this case, 0.36 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. This will make it 36/100

Step 2: Now, let us see how 36 over 100 is expressed. We can see that 36/100 is not in the simplified form. We know that the HCF (Highest Common Factor) of 36,100 = 4. So, this fraction can be simplified as follows.

After reducing this fraction we get,

⇒ (36 ÷ 4) / (100 ÷ 4) = 9/25

36/100 = 9/25

Therefore, we reduced the fraction 36/100 to 9/25. In other words, when we convert 0.36 into a fraction, we get 9/25.

You can use Cuemath's online Decimal to fraction calculator to verify your answer.

Therefore, 0.36 as a fraction in simplest form can be expressed as 9/25