3/20 as a Decimal
2026-02-28 17:56 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 of a whole. It has two parts: the numerator (number on the top) here, 3, 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 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 3/20 as a decimal?

Answer

3/20 in decimals can be written as 0.15. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 3/20 in decimal, we will use the division method. Here, as 3 is smaller than 20, we will take help of the decimal method, which will give us 0.15. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: As 3 is smaller than 20, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 3 as 30 and adding a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 20. Let's see how many times 20 goes into 30.

Step 4: 30 divided by 20 equals 1 with a remainder of 10.

Step 5: Bring down another 0 in the dividend place, making it 100, and then divide by 20 again.

Step 6: 100 divided by 20 equals 5 with a remainder of 0, indicating the division is complete. This process gives us the decimal 0.15.

Important Glossaries for 3/20 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.