9/27 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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: numerator (number on the top) and denominator (number below). In this case, 9 is the numerator and represents how many parts are being considered, while 27 is the denominator and shows how many parts make the whole. 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 9/27 as a decimal?

Answer:

9/27 in decimals can be written as 0.3333... It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation:

To convert 9/27 into a decimal, we will use the division method. Here, since 9 is smaller than 27, the division will result in a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (27) will be taken as the divisor.

Step 2: Since 9 is smaller than 27, we need to use decimals. We will add a decimal point in the quotient place and add 0 to the dividend, making 9 into 90.

Step 3: Now that it is 90, we can divide it by 27. Let's see how many times 27 fits into 90.

Step 4: 90 is not a multiple of 27, so we will look for the nearest number that is 27 × 3 = 81. We will write 3 in the quotient place and subtract 81 from 90, which gives 9.

Step 5: Bring down another 0 in the dividend place, making 9 into 90 again, and then repeat the division process. The division process continues indefinitely with the remainder not reaching 0, indicating a recurring decimal.

The answer for 9/27 as a decimal is 0.3333...