18/40 as a decimal

Professor Greenline Explaining Math Concepts

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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, 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 40. 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 that to the right represents the fractional part.

What is 18/40 as a decimal?

$18/40 as a decimal$

Answer

18/40 in decimals can be written as 0.45. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 18/40 in decimal, we will use division method. Here, 18 is smaller than 40, so we will convert it into a decimal. 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 (40) will be taken as the divisor.

Step 2: Divide 18 by 40. Since 18 is smaller than 40, we will add a decimal point to the quotient and additional zeros to the dividend to make it divisible.

Step 3: 180 divided by 40 equals 4 with a remainder of 20. Write 4 in the quotient place.

Step 4: Bring down another 0 to make 200. Divide 200 by 40 to get 5 with a remainder of 0.

Step 5: Since the remainder is 0, the division ends here.

The answer for 18/40 as a decimal is 0.45.

Important Glossaries for 18/40 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.