How to Convert from Mixed Fractions to Improper Fractions

Converting from Mixed to Improper Fractions

Mixed fractions can be converted to improper fractions.

  • A mixed fraction has a whole number and a fraction.

  • An improper fraction (or top-heavy fraction) is a fraction where the top number is greater than (or equal to) the bottom number.

How to Convert from Improper to Mixed Fractions

Question

Convert the mixed fraction below to an improper fraction.

Don't forget: A mixed fraction has a 'whole number' part (2 in our example) and a 'fraction' part (½).

The top number of the fraction (1) is called the numerator. The bottom number of the fraction (2) is called the denominator.

Step-by-Step:

1

Multiply the whole number (2) by the denominator of the fraction (2).

2 × 2 = 4

2

Take this answer (4) and add the numerator (1) of the fraction part of the mixed fraction.

4 + 1 = 5

3

Make this the numerator of the improper fraction.

4

Take the denominator from the fraction part of the mixed fraction (2) and make this the denominator of the improper fraction.

5

Simplify the fraction if possible. (The fraction in our example is already as simple as possible).

Answer:

5/2 (five-halves) is 2 1/2 (two and a half) written as a mixed fraction.

Slider

The slider below shows another real example of converting mixed fractions to improper fractions.

Open the slider in a new tab

See Also

What is a mixed fraction? What is an improper fraction? What is a whole number? What is a fraction? What is a mixed fraction? What is a numerator? What is a denominator? Simplifying fractions