137 LearnersLast updated on May 26th, 2025
10/14 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, 10 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 10/14 as a decimal?
Answer
10/14 in decimals can be simplified first to 5/7 and then written as approximately 0.71428571. It is a non-terminating, repeating decimal.
Explanation
To get 10/14 in decimal, we will simplify the fraction first, and then use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Simplify the fraction 10/14 to 5/7 by dividing both the numerator and the denominator by 2.
Step 2: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (7) will be taken as the divisor.
Step 3: As 5 is smaller than 7, it can't be divided directly; here we will take the help of decimals. We will add 0 to the dividend, which will make 5 as 50, and add a decimal point in the quotient place.
Step 4: Now that it is 50, we can divide it by 7. Let's see how many times 7 fits into 50.
Step 5: 50 is not a multiple of 7, so we will look for the nearest number that is 7 × 7 = 49. We will write 7 in the quotient place and subtract 49 from 50, giving 1.
Step 6: Bring down another 0 in the dividend place, making it 10, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a repeating decimal.
The answer for 10/14 as a decimal will be approximately 0.71428571.
Important Glossaries for 10/14 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 infinitely.
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