Last updated on May 26th, 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 (the number on the top), here 1 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 49. A decimal is a way to represent the 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.
Answer 1/49 in decimals can be written as 0.0204081632….. It is a recurring decimal, showing it will repeat a sequence of digits infinitely. Explanation To get 1/49 in decimal, we will use the division method. Here as 1 is smaller than 49, we will take the help of the decimal method which will give us 0.0204081632. 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 (49) will be taken as the divisor. Step 2: As 1 is smaller than 49, 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't divide it by 49. We will add another 0 to make it 100. Step 4: 49 goes into 100 twice (49 × 2 = 98). Write 2 in the quotient place, subtract 98 from 100 to get 2. Step 5: Bring down another 0 in the dividend place to make 20 and then repeat the division process. Step 6: Continue this process. You will find that the division repeats a pattern of digits. This process results in a recurring decimal. The answer for 1/49 as a decimal is 0.0204081632 repeating.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole. Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part. Numerator: The top part of a fraction, indicating how many parts of the whole are being considered. Denominator: The bottom part of a fraction, showing how many parts make up a whole. Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely. ```