5/18 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 5, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 18. 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 5/18 as a decimal?

$5/18 as a decimal$

Answer

5/18 in decimals can be written as approximately 0.27777..... It is a recurring decimal, indicating that it will repeat the same digit infinitely.

Explanation

To convert 5/18 to a decimal, we will use the division method. Here, as 5 is smaller than 18, we will take the help of the decimal method, which will give us 0.2777. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (18) will be taken as the divisor.

Step 2: Since 5 is smaller than 18, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 5 as 50 and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 18. Let's see how many times 18 goes into 50.

Step 4: 50 is not a multiple of 18, so we will look for the nearest number: 18 × 2 = 36 We will write 2 in the quotient place and subtract 36 from 50, giving 14.

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

The answer for 5/18 as a decimal will be approximately 0.2777...