15/6 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

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) here, 15, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 15/6 as a decimal?

$15/6 as a decimal$

Answer

15/6 in decimals can be written as 2.5. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 15/6 in decimal, we will use the division method. Here, 15 is larger than 6, so we can divide directly without initially using a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (15) will be taken as the dividend and the denominator (6) will be taken as the divisor.

Step 2: Divide 15 by 6. See how many times 6 fits into 15.

Step 3: 6 fits into 15 twice (2 × 6 = 12), so write 2 in the quotient place. Subtract 12 from 15, which gives 3.

Step 4: Add a decimal point in the quotient and bring down a 0, making the remainder 30.

Step 5: Now, 6 fits into 30 five times (5 × 6 = 30), so write 5 in the quotient place after the decimal. Subtract 30 from 30, which gives 0. The division process ends here with no remainder.

The answer for 15/6 as a decimal is 2.5.