1/49 as a Decimal

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. ```