Table Of Contents
Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 5, representing how many parts out of the whole, and the denominator (the number below), here 11, showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using 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.
5/11 in decimals can be written as 0.4545... It is a recurring decimal, meaning it will repeat the same sequence of digits infinitely.
To convert 5/11 to a decimal, we will use the division method. As 5 is smaller than 11, we will use decimals to perform the division, resulting in 0.4545.
Let's break down the process step by step:
Step 1: Identify the numerator and denominator, where the numerator (5) will be the dividend and the denominator (11) will be the divisor.
Step 2: Since 5 is smaller than 11, it can't be divided directly. We will use decimals by adding 0 to the dividend, making 5 into 50, and adding a decimal point in the quotient.
Step 3: Now, divide 50 by 11. Let's see how many times 11 fits into 50.
Step 4: 50 is not a multiple of 11, so we find the nearest number, which is 11 × 4 = 44. Write 4 in the quotient and subtract 44 from 50, which gives 6.
Step 5: Bring down another 0 in the dividend to make 60 and continue the division process. The division process continues, and since we don't get 0 as a remainder, this process is called a recurring decimal.
The answer for 5/11 as a decimal will be 0.4545...