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Last updated on December 16, 2025

75/7 as a Mixed Number

Professor Greenline Explaining Math Concepts

The fraction 75/7 is an example of an improper fraction, as the numerator is greater than the denominator. This indicates that the fraction's value exceeds 1. We convert these types of fractions into mixed numbers, which consist of a whole number and a proper fraction, to make them more comprehensible and practical for everyday use. Let's convert 75/7 into a mixed number to determine how many whole parts exist and what fraction remains.

Professor Greenline from BrightChamps

What is 75/7 as a mixed number:

Answer: In mixed number form, 75/7 is written as 10 5/7

 

Explanation: When converting an improper fraction to a mixed number, first divide the numerator by the denominator.

 

Here, 75 ÷ 7 = 10 with a remainder of 5. The quotient becomes the whole number part. The remainder becomes the numerator, and the denominator remains the same.

 

Here, whole number (quotient) = 10

 

Numerator (remainder) = 5

 

Denominator = 7

 

So, 75/7 = 10 5/7

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Professor Greenline from BrightChamps

Important Glossary for 75/7 as a Mixed Number

  • Improper fraction: An improper fraction is one where the numerator is greater than the denominator, such as 9/4, 75/7.

 

  • Proper fraction: A type of fraction in which the numerator is smaller than the denominator, for example, 3/5, 2/7, etc.

 

 

  • Numerator: The top part of a fraction, representing how many parts we have.

 

  • Denominator: The bottom part of a fraction, indicating the total number of equal parts the whole is divided into.
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