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Last updated on March 29th, 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 1, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 99. 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.
1/99 in decimals can be written as 0.010101…. It is a recurring decimal, showing it will repeat the same pattern infinitely.
To get 1/99 in decimal, we will use the division method. Here, as 1 is smaller than 99, we will take the help of the decimal method, which will give us 0.010101. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (99) will be taken as the divisor.
Step 2: As 1 is smaller than 99, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10, and add a decimal point in the quotient place.
Step 3: Now that it is 10, we can divide it by 99. Let's see how many times 99 makes 10.
Step 4: 10 is not a multiple of 99, so we will add another 0 to make it 100 and divide.
Step 5: 100 divided by 99 is 1, remainder 1. Bring down another 0, making 100; divide again by 99. This process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 1/99 as a decimal will be 0.010101….
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.