20/8 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: the numerator (the number on the top) here, 20 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 8. 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 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 20/8 as a decimal?

$20/8 as a decimal$

Answer

20/8 in decimals can be written as 2.5. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 20/8 in decimal, we will use the division method. Here, as 20 is larger than 8, we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (20) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 20 by 8. 8 goes into 20 two times because 8 × 2 = 16.

Step 3: Subtract 16 from 20, which gives 4.

Step 4: Bring down an imaginary 0 to make it 40, and see how many times 8 goes into 40. It goes exactly 5 times because 8 × 5 = 40.

Step 5: Subtract 40 from 40, which gives 0. Since there is no remainder, the division process ends here.

The answer for 20/8 as a decimal will be 2.5.

Important Glossaries for 20/8 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.