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102 LearnersLast updated on April 2nd, 2025
6/14 as a Decimal
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, numerator (number on the top) here, 6 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 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.
What is 6/14 as a decimal?
Answer
6/14 in decimals can be written as approximately 0.42857. It is a non-terminating, repeating decimal.
Explanation
To convert 6/14 into a decimal, we'll use the division method. We divide the numerator by the denominator. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator. The numerator (6) will be taken as the dividend and the denominator (14) will be taken as the divisor.
Step 2: Divide 6 by 14. Since 6 is smaller than 14, the quotient will start with a 0, and we will use the decimal method.
Step 3: Add a decimal point and a zero to the dividend, making it 60.
Step 4: Determine how many times 14 fits into 60. It fits 4 times (14 × 4 = 56). Subtract 56 from 60 to get 4.
Step 5: Bring down another 0 to make it 40. Divide 40 by 14, which fits 2 times (14 × 2 = 28). Subtract 28 from 40 to get 12.
Step 6: Bring down another 0 to make it 120. Divide 120 by 14, which fits 8 times (14 × 8 = 112). Subtract 112 from 120 to get 8.
Step 7: This process continues.
The decimal representation of 6/14 is approximately 0.42857.
Important Glossaries for 6/14 as a decimal
- 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.
- Repeating Decimal: A decimal in which a sequence of digits repeats indefinitely.
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