21/5 as a Decimal
2026-02-28 11:18 Diff

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Last updated on August 5, 2025

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: the 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 5. 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 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 21/5 as a decimal?

Answer

21/5 in decimals can be written as 4.2. It is a terminating decimal, showing it will not repeat infinitely.

Explanation

To get 21/5 in decimal, we will use the division method. Here, 21 is larger than 5, so we can divide directly. 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 (5) will be taken as the divisor.

Step 2: Divide 21 by 5. 5 goes into 21 four times, which gives us 20.

Step 3: Subtract 20 from 21, which leaves a remainder of 1.

Step 4: Bring down a 0 to make it 10 and add a decimal point in the quotient place.

Step 5: 5 goes into 10 two times, which gives us 10. Subtract 10 from 10, and the remainder is 0. This process shows that the division ends with no remainder, making it a terminating decimal.

The answer for 21/5 as a decimal will be 4.2.

Important Glossaries for 21/5 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.