6/36 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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, numerator (number on the top) here, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 36. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 6/36 as a decimal?

$6/36 as a decimal$

Answer

6/36 in decimals can be written as 0.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 6/36 in decimal, we will use the division method. Here, as 6 is smaller than 36, we will take the help of the decimal method, which will give us 0.1666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (36) will be taken as the divisor.

Step 2: As 6 is smaller than 36, it can't be divided; here we will take the help of decimals. We will add 0 to the dividend, which will make 6 as 60, and add a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 36. Let's see how many times 36 makes 60.

Step 4: 60 is not a multiple of 36, so we will look for the nearest number that is 36 × 1 = 36. We will write 1 in the quotient place, and subtracting 36 from 60 gives 24.

Step 5: Bring down another 0 in the dividend place to make 24 as 240 and then repeat the division process. This process continues, and the remainder does not become 0. This type of process is called a recurring decimal.

The answer for 6/36 as a decimal will be 0.1666……