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104 LearnersLast updated on March 13th, 2025
11 3/4 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number includes a whole number and a fraction. A fraction represents a part of the whole, with a numerator (number on the top) showing how many parts and a denominator (number below) showing how many parts make the whole. A decimal represents 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 11 3/4 as a decimal?
Answer
11 3/4 in decimal form is 11.75.
Explanation
To convert 11 3/4 to a decimal, we first convert the fraction 3/4 into a decimal and then add it to the whole number 11. Here's the step-by-step process:
Step 1: Identify the fraction part, which is 3/4.
Step 2: Divide the numerator by the denominator. 3 divided by 4 equals 0.75.
Step 3: Add the decimal result from step 2 to the whole number part. So, 11 + 0.75 equals 11.75.
Therefore, 11 3/4 as a decimal is 11.75.
Important Glossaries for 11 3/4 as a decimal
- Mixed Number: A whole number combined with a fraction.
- 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.
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