8/15 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 from the whole. It has two parts: the numerator (number on the top) here, 8 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 15. A decimal is a way to represent the 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 8/15 as a decimal?

$8/15 as a decimal$

Answer

8/15 in decimal form can be written as 0.5333… It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To convert 8/15 to a decimal, we will use the division method. Here, as 8 is smaller than 15, we will use the decimal method to find 0.5333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (15) will be taken as the divisor.

Step 2: As 8 is smaller than 15, it can't be divided. Here we will use decimals. We will add 0 to the dividend, making 8 as 80, and place a decimal in the quotient.

Step 3: Now that it is 80, we can divide it by 15. Let's see how many times 15 fits into 80.

Step 4: 15 × 5 = 75, which is the nearest multiple of 15 less than 80. We write 5 in the quotient place and subtract 75 from 80 to get 5.

Step 5: Bring down another 0 in the dividend place to make it 50 and repeat the division process. The division process continues, and we find that the remainder does not become 0, indicating a recurring decimal.

The answer for 8/15 as a decimal will be 0.5333…