18/45 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) here, 18 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 45. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 18/45 as a decimal?

$18/45 as a decimal$

Answer

18/45 in decimals can be written as 0.4. It is a terminating decimal, showing it does not repeat infinitely.

Explanation

To get 18/45 in decimal, we will use the division method. Here as 18 is smaller than 45, we will take help of the decimal method which will give us 0.4. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (18) will be taken as the dividend and the denominator (45) will be taken as the divisor.

Step 2: As 18 is smaller than 45, it can't be divided directly, here we will take the help of decimals. We will add 0 to the dividend, which will make 18 as 180 and add a decimal point in the quotient place.

Step 3: Now that it is 180, we can divide it by 45. Let's see how many times 45 makes 180.

Step 4: 180 is a multiple of 45, so we will divide directly: 45 × 4 = 180. We will write 4 in the quotient place and subtract 180 from 180 gives 0.

Step 5: As the remainder is 0, the division process stops here.

The answer for 18/45 as a decimal is 0.4.