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Last updated on August 5, 2025

15/18 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 15/18 as a decimal?

15/18 as a decimal

 

Answer

 

15/18 in decimals can be written as 0.8333... It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert 15/18 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend, and the denominator (18) will be taken as the divisor.

 

Step 2: As 15 is smaller than 18, it can't be directly divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 15 as 150 and add a decimal point in the quotient place.

 

Step 3: Now that it is 150, we can divide it by 18. Let's see how many times 18 fits into 150.

 

Step 4: 18 × 8 = 144, which is the nearest multiple of 18 less than 150. We will write 8 in the quotient place and subtract 144 from 150, which gives 6.

 

Step 5: Bring down another 0 in the dividend place, making it 60, 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 15/18 as a decimal will be 0.8333...

Professor Greenline from BrightChamps

Important Glossaries for 15/18 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 sequence of digits infinitely.
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