15/18 as a Decimal

Professor Greenline Explaining Math Concepts

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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, 15, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 18. A decimal is a way to represent a number that is not whole, using a (.) or 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 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...