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Last updated on December 11, 2025

5 X 3/4 as a Mixed Number

Professor Greenline Explaining Math Concepts

The expression 5 x 3/4 involves multiplying a whole number by a fraction. To express the result as a mixed number, we first perform the multiplication. This product can then be written as a mixed number, which consists of a whole number and a proper fraction, for easier understanding and use in everyday situations. Let's convert the product of 5 x 3/4 into a mixed number to see how many whole parts and what fraction remains.

Professor Greenline from BrightChamps

What is 5 x 3/4 as a mixed number:

Answer: In mixed number form, 5 x 3/4 is written as 3 3/4

 

Explanation: When multiplying a whole number by a fraction, multiply the whole number by the numerator, keeping the denominator the same.

 

Here, 5 x 3 = 15, and the denominator remains 4, so we have 15/4.

 

Now, convert 15/4 to a mixed number: 15 ÷ 4 = 3 with a remainder of 3.

 

The quotient becomes the whole number part.

 

The remainder becomes the numerator, and the denominator remains the same.

 

Here, whole number (quotient) = 3 Numerator (remainder) = 3 Denominator = 4

 

So, 15/4 = 3 3/4

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Professor Greenline from BrightChamps

Important Glossary for 5 x 3/4 as a Mixed Number

  • Improper Fraction: A fraction where the numerator is greater than the denominator, for example, 15/4.

 

  • Proper Fraction: A type of fraction where the numerator is smaller than the denominator, for example, 1/2, 3/4.

 

  • Multiplication of Fractions: The process of multiplying the numerators together and the denominators together.

 

 

  • Whole Number: An integer equal to or greater than zero that does not contain a decimal value or a fraction. 
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