12/15 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole and is composed of two parts: the numerator, which is the number on top (here, 12), representing how many parts out of the whole, and the denominator, which is the number below (here, 15), showing how many parts make up 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 12/15 as a decimal?

$12/15 as a decimal$

Answer

12/15 as a decimal can be written as 0.8. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert 12/15 into a decimal, we will use the division method. Since 12 is smaller than 15, we will use the decimal method, which will give us 0.8. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (12) will be taken as the dividend, and the denominator (15) as the divisor.

Step 2: As 12 is smaller than 15, it can't be divided without a decimal point. We will add a decimal point to the quotient and a zero to the dividend, making it 120.

Step 3: Now divide 120 by 15. See how many times 15 fits into 120.

Step 4: 15 multiplied by 8 equals 120. Write 8 in the quotient place.

Step 5: Subtract 120 from 120, which gives 0 as a remainder. Since there is no remainder, the division ends here.

The answer for 12/15 as a decimal is 0.8.