115 LearnersLast updated on May 26th, 2025
10/15 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 (the number on the top), here 10, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 15. A decimal is a way to represent a number that is not whole, using 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.
What is 10/15 as a decimal?
Answer
10/15 in decimals can be written as 0.6666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.
Explanation
To get 10/15 in decimal, we will use the division method. Here, as 10 is smaller than 15, we will take the help of the decimal method, which will give us 0.6666. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend, and the denominator (15) will be taken as the divisor.
Step 2: As 10 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 10 as 100 and add a decimal point in the quotient place.
Step 3: Now that it is 100, we can divide it by 15. Let's see how many times 15 makes 100.
Step 4: 100 is not a multiple of 15, so we will look for the nearest number that is 15 × 6 = 90. We will write 6 in the quotient place and subtract 90 from 100, which gives 10.
Step 5: Bring down another 0 in the dividend place and make 10 as 100 and then 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 10/15 as a decimal will be 0.6666……
Important Glossaries for 10/15 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.
- 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.
- Recurring Decimal: A decimal that repeats the same digit or group of digits indefinitely.
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