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102 LearnersLast updated on March 13th, 2025
28 3/4 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (the number on the top) here, 3 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the number that is not whole, using a decimal point (.) 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 28 3/4 as a decimal?
Answer
28 3/4 in decimals can be written as 28.75. It is a terminating decimal, meaning the decimal representation ends.
Explanation
To convert 28 3/4 to a decimal, we will use the division method for the fractional part. Here, as 3 is smaller than 4, we perform the following steps:
Step 1: Identify the whole number and the fraction. The whole number is 28 and the fraction is 3/4.
Step 2: Divide the numerator (3) by the denominator (4) to convert the fraction to a decimal.
Step 3: 3 divided by 4 gives 0.75.
Step 4: Combine the whole number with the decimal fraction. Add 0.75 to the whole number 28.
Step 5: The result is 28.75. This process shows that the decimal representation of 28 3/4 is 28.75.
Important Glossaries for 28 3/4 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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