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 (number on the top) here, 3 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 point 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.
3/14 in decimals can be written as approximately 0.2142857. It is a repeating decimal with a repeating pattern of 2142857.
To get 3/14 in decimal, we will use the division method. Here, as 3 is smaller than 14, we will take the help of the decimal method which will give us 0.2142857. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (14) will be taken as the divisor.
Step 2: As 3 is smaller than 14, it can't be divided straightforwardly. We will add a decimal point in the quotient place and append 0 to the dividend, making it 30.
Step 3: Now, we can divide 30 by 14. 14 goes into 30 two times (14 × 2 = 28).
Step 4: Subtract 28 from 30, which leaves us with 2. Bring down another 0, making it 20.
Step 5: 14 goes into 20 once (14 × 1 = 14), subtract to get 6, bring down another 0, making it 60.
Step 6: Continue this process, and you will observe the repeating pattern 2142857.
The answer for 3/14 as a decimal is approximately 0.2142857.