21/20 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 21 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 20. 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 21/20 as a decimal?

$21/20 as a decimal$

Answer

21/20 in decimals can be written as 1.05. It is a terminating decimal, showing it will end after a few digits.

Explanation

To get 21/20 in decimal, we will use the division method. Here, 21 is larger than 20, so it will result in a whole number with a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: Perform the division of 21 by 20.

Step 3: 21 divided by 20 gives 1 as the whole number part since 20 fits into 21 once.

Step 4: Subtract 20 from 21 to get a remainder of 1.

Step 5: Bring down a 0 to make it 10, then divide 10 by 20, which gives 0.5.

Step 6: The division ends here as the remainder becomes 0, making it a terminating decimal.

Therefore, the answer for 21/20 as a decimal is 1.05.

Important Glossaries for 21/20 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.