What is an improper fraction?

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

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.

Grade 6th Grade · Math · 40 min

I can convert improper fractions to mixed numbers.

Khan Academy · 4:02

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

3 key concepts

1
An improper fraction is a fraction where the numerator is larger than the denominator.
2
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).
3
Take the remainder and make it the numerator of the fractional part - the original denominator stays the same.

8 questions · Multiple choice & Short answer

Quick comprehension check

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

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