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Last updated on March 5th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top) here, 2, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 14. 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.
2/14 in decimals can be written as 0.142857... It is a recurring decimal, indicating it will repeat the same sequence of digits infinitely.
To convert 2/14 to a decimal, we will use the division method. Here, as 2 is smaller than 14, we will employ the decimal method, which will yield 0.142857.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (14) will be taken as the divisor.
Step 2: As 2 is smaller than 14, it can't be divided directly. We will add a decimal point in the quotient and a zero to the dividend, changing 2 to 20.
Step 3: Now that it is 20, we can divide it by 14. Determine how many times 14 fits into 20. Step 4: 14 goes into 20 once, so write 1 in the quotient place. Subtract 14 from 20, giving 6.
Step 5: Bring down another 0 to the dividend place, making it 60, and repeat the division process. The division process continues, and we don't get the remainder as 0, resulting in a recurring decimal.
The answer for 2/14 as a decimal will be 0.142857...