28/9 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: the numerator (number on the top), here, 28 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 28/9 as a decimal?

$28/9 as a decimal$

Answer

28/9 in decimals can be written as 3.11111… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 28/9 in decimal, we will use the division method. Here, as 28 is greater than 9, we can divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (28) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 28 by 9. The whole part of the division is 3, because 9 goes into 28 three times (9 × 3 = 27).

Step 3: Subtract 27 from 28 to get a remainder of 1.

Step 4: Add a decimal point to the quotient and bring down a 0 next to the remainder, making it 10. Divide 10 by 9 to get 1.

Step 5: Subtract 9 from 10 to get a remainder of 1. Bring down another 0 and 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 28/9 as a decimal will be 3.1111…