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149 LearnersLast updated on March 4th, 2025
4 2/5 as a Decimal
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 2, which represents how many parts out of the whole, and the denominator (number below), here 5, which shows how many parts make the whole. 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 4 2/5 as a decimal?
Answer
4 2/5 in decimals can be written as 4.4. This is a terminating decimal and does not repeat.
Explanation
To convert 4 2/5 into a decimal, we will first convert the fraction part into decimal form and then add it to the whole number. Let's see the step-by-step breakdown of the process:
Step 1: Identify the whole number (4) and the fraction (2/5).
Step 2: Convert the fraction 2/5 into a decimal by dividing the numerator (2) by the denominator (5).
Step 3: Perform the division: 2 ÷ 5 = 0.4.
Step 4: Add the decimal result to the whole number: 4 + 0.4 = 4.4. Thus, the decimal representation of 4 2/5 is 4.4.
Important Glossaries for 4 2/5 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.
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