Improper fraction (e.g. 7/4)

An improper fraction is a fraction where the top number (numerator) is bigger than or the same as the bottom number (denominator), meaning it represents one whole or more than one whole

Mixed number (e.g. 5 3/4)

A mixed number is a way to write a number that's bigger than one by combining a whole number and a proper fraction

In order to divide or multiply a mixed number, you must change it into an improper fraction (so the entire number stays together)

To change a mixed number into an improper fraction, multiply the whole number by the denominator, then add the numerator to that result to get your new numerator, keeping the original denominator the same.

If your quotient (the answer to a division problem) is an improper fraction, convert it into a mixed number.

To change an improper fraction to a mixed number, divide the numerator by the denominator: the whole number result becomes the whole part, the remainder becomes the new numerator, and the denominator stays the same.

If you want to review changing mixed numbers into improper fractions (and vice versa), grab a worksheet and feel free to work on it on your own.

1. Check-your-understanding questions:

Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.

2. Make sure that you have notes in your math notebook (things to remember)

3. If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search

The History of Division (according to Mr. Olsen)