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Last updated on March 4th, 2025

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2/40 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 of a whole. It has two parts: the numerator (number on the top), here 2, representing how many parts out of the whole, and the denominator (number below), here 40, showing how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) 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.

Professor Greenline from BrightChamps

What is 2/40 as a decimal?

2/40 as a decimal

 

 

Answer

2/40 as a decimal can be written as 0.05. It is a terminating decimal because it does not repeat infinitely.

 

Explanation

To convert 2/40 to a decimal, we will use the division method. Since 2 is smaller than 40, we will employ the decimal method to find the answer. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator. The numerator (2) will be taken as the dividend, and the denominator (40) will be taken as the divisor.

 

Step 2: As 2 is smaller than 40, it can't be divided directly; hence, we will add a decimal point and a zero to the dividend, making it 20, and add a decimal point in the quotient.

 

Step 3: Now, divide 20 by 40. 20 is not a multiple of 40, so we will look for the nearest number that 40 can multiply to stay below 20, which is 0.

 

Step 4: Since 40 does not fit into 20, write 0 in the quotient and bring down another 0, making it 200.

 

Step 5: Divide 200 by 40. 40 goes into 200 five times (40 × 5 = 200). Write 5 in the quotient place.

 

Step 6: Subtract 200 from 200, which leaves 0. The division process ends, resulting in a terminating decimal.

 

The answer for 2/40 as a decimal is 0.05.

Professor Greenline from BrightChamps

Important Glossaries for 2/40 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.
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