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Last updated on March 3rd, 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 7. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
1/7 in decimals can be written as 0.142857….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.
To get 1/7 in decimal, we will use the division method. Here as 1 is smaller than 7, we will take the help of the decimal method, which will give us 0.142857. 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 (7) will be taken as the divisor.
Step 2: As 1 is smaller than 7, 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 7. Let's see how many times 7 makes 10.
Step 4: 10 is not a multiple of 7, so we will look for the nearest number that is 7 × 1 = 7. We will write 1 in the quotient place and subtract 7 from 10, which gives 3.
Step 5: Bring down another 0 in the dividend place to make it 30, then divide 30 by 7, which gives 4. Subtract 28 from 30 gives 2. Repeat the process by bringing down a 0 and dividing by 7. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 1/7 as a decimal will be 0.142857……