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101 LearnersLast updated on April 1st, 2025
-2 3/4 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn about mixed numbers and decimals. A mixed number consists of a whole number and a fraction. The fraction has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. A decimal is a way to represent a number that is 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.
What is -2 3/4 as a decimal?
Answer
-2 3/4 in decimal form can be written as -2.75. It is a terminating decimal.
Explanation
To convert -2 3/4 to a decimal, we will first convert the fractional part 3/4 to a decimal and then add it to the whole number part. Let's see the step-by-step breakdown of the process.
Step 1: Identify the whole number part (-2) and the fractional part (3/4).
Step 2: Convert the fraction 3/4 to a decimal.
Step 3: Divide the numerator (3) by the denominator (4). So, 3 divided by 4 gives 0.75.
Step 4: Add the decimal obtained from the fraction to the whole number part. Since the whole number is -2, the final decimal form is -2 + 0.75 = -2.75.
The answer for -2 3/4 as a decimal is -2.75.
Important Glossaries for -2 3/4 as a decimal
- Mixed Number: A number consisting of a whole number and a fraction.
- 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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