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109 LearnersLast updated on March 3rd, 2025
1/15 as a Decimal
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 up the whole, here it is 15. 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.
What is 1/15 as a decimal?
Answer
1/15 in decimals can be written as 0.06666….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 1/15 in decimal, we will use the division method. Here, as 1 is smaller than 15, we will use the decimal method, which will give us 0.0666.
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 (15) will be taken as the divisor.
Step 2: As 1 is smaller than 15, it can't be divided. Here, 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 15. Since 10 is less than 15, we add another 0 making it 100.
Step 4: 100 divided by 15 gives 6 with a remainder of 10. Therefore, we write 6 in the quotient place.
Step 5: Bring down another 0 in the dividend place to make it 100 and repeat the division process.
The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 1/15 as a decimal will be 0.0666……
Important Glossaries for 1/15 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.
Recurring Decimal: A decimal fraction that repeats indefinitely.
Dividend: The number that is being divided in a division operation. Divisor: The number by which the dividend is divided.
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