Table Of Contents
Last updated on March 18th, 2025
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 3. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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.
28/3 in decimals can be written as 9.3333. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 28/3 in decimal, we will use the division method. 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 (3) will be taken as the divisor.
Step 2: Divide 28 by 3. The whole number part of the quotient is 9, as 3 goes into 28 nine times (3 × 9 = 27).
Step 3: Subtract 27 from 28 to get 1 as the remainder.
Step 4: Bring down a 0 to make it 10 and continue the division. 3 goes into 10 three times (3 × 3 = 9).
Step 5: Subtract 9 from 10 to get 1. Bring down another 0 to make it 10 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 28/3 as a decimal will be 9.3333.