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Last updated on March 24th, 2025

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11 3/8 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 the whole. It 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.

Professor Greenline from BrightChamps

What is 11 3/8 as a decimal?

11 3/8 as a decimal

Answer

 

11 3/8 in decimals can be written as 11.375. This is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 11 3/8 to a decimal, we must first convert the fractional part, 3/8, to a decimal and then add it to the whole number, 11.

 

Step 1: Identify the fraction part, which is 3/8.
 

Step 2: Divide the numerator (3) by the denominator (8) using the division method.

 

Step 3: 3 divided by 8 equals 0.375.

 

Step 4: Add the decimal result to the whole number part: 11 + 0.375 = 11.375.

 

Therefore, the answer for 11 3/8 as a decimal is 11.375.

Professor Greenline from BrightChamps

Important Glossaries for 11 3/8 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Decimal: A number expressed in the base ten system, including 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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