8/22 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

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, 8 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 22. A decimal is a way to represent a 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 8/22 as a decimal?

$8/22 as a decimal$

Answer

8/22 in decimals can be written as approximately 0.3636. It is a recurring decimal, showing it will repeat the same digit sequence infinitely.

Explanation

To get 8/22 in decimal, we will use the division method. Here as 8 is smaller than 22, we will take the help of decimal method which will give us 0.3636. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (8) will be taken as the dividend and denominator (22) will be taken as the divisor.

Step 2: As 8 is smaller than 22, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 8 as 80, and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 22. Let's see how many times 22 fits into 80.

Step 4: 80 is not a multiple of 22, so we will look for the nearest number, which is 22 × 3 = 66. We will write 3 in the quotient place and subtract 66 from 80, giving 14.

Step 5: Bring down another 0 in the dividend place, making 14 as 140, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 8/22 as a decimal will be approximately 0.3636……