Explain the steps to convert the improper fraction 15/4 into a mixed number. Explain your thinking with pictures, numbers, and words.

First, divide 15 by 4. 4 goes into 15 three times. The remainder is 3. Therefore, the mixed number is 3 and 3/4.

Improper Fractions and Mixed Numbers

6th Grade•40 minutes

I can convert improper fractions to mixed numbers.

An improper fraction is a fraction where the numerator is larger than the denominator.

To convert an improper fraction to a mixed number, divide the numerator by the denominator; the quotient is the whole number (of the mixed number).

Take the remainder and make it the numerator of the fractional part - the original denominator stays the same.

This lesson includes 8 practice questions to reinforce learning.

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1. What is an improper fraction?

2. Convert the improper fraction 11/3 to a mixed number. Explain your thinking with pictures, numbers, and words.

3. Which of the following mixed numbers is equivalent to the improper fraction 9/2?

...and 5 more questions

Mixed numbers: changing from an improper fraction | Fractions | Pre-Algebra | Khan Academy

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