8/36 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 8, which represents how many parts out of the whole, and the denominator (number below) shows how many parts make the whole, here it is 36. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

What is 8/36 as a decimal?

$8/36 as a decimal$

Answer

8/36 in decimals can be written as approximately 0.2222. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 8/36 into a decimal, we will use the division method. Here, as 8 is smaller than 36, we will use the decimal method, which will give us 0.2222. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (36) will be taken as the divisor.

Step 2: As 8 is smaller than 36, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, making 8 into 80, and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 36. Let's see how many times 36 fits into 80.

Step 4: 80 is not a multiple of 36, so we look for the nearest number, which is 36 × 2 = 72. We will write 2 in the quotient place and subtract 72 from 80, giving us 8.

Step 5: Bring down another 0 in the dividend place, making 8 as 80, and then repeat the division process. The division process continues, producing a recurring decimal.

The answer for 8/36 as a decimal is approximately 0.2222.