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Last updated on March 3rd, 2025

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3 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 a 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 (.) or 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 3 3/8 as a decimal?

3 3/8 as a decimalAnswer

 

3 3/8 in decimals can be written as 3.375. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 3 3/8 to a decimal, we separate the whole number from the fraction and convert the fraction to a decimal.

 

Step 1: Identify the whole number part, which is 3.

 

Step 2: Convert the fraction part 3/8 to a decimal using division. Here, 3 is the numerator and 8 is the denominator.

 

Step 3: Perform the division 3 ÷ 8, which gives 0.375. Step 4: Add the decimal from the fraction to the whole number: 3 + 0.375 = 3.375.

 

The process results in the decimal 3.375, which is a terminating decimal.

Professor Greenline from BrightChamps

Important Glossaries for 3 3/8 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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