# The ten things you'll need to learn about fractions

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There is more explanation of these rules in my article: "A Year of Learning Fractions in Ten Simple Rules".

Writing and Naming Fractions
The number on the top of the fraction is called the NUMERATOR and the number on the bottom is called the DENOMINATOR.
Reducing a fraction to it's simplest form
Find the biggest number that will divide EXACTLY into both the top and bottom of the fraction. Divide both top and bottom of your fraction by that number and it's as simple as it can ever be.
Turning a fraction into a 'mixed' number
Divide the top of the fraction by the bottom. You'll get an answer - usually with some remainder. The result of the division is the 'whole number' part of the mixed number - and the remainder from the division becomes the top part of the fraction. The number that was on the bottom of the fraction just stays there.
Multiplying two fractions
Multiply the two numbers on the tops of the fractions together and put them on the top of the answer, multiply the two numbers on the bottom of the fractions together and put them on the bottom of the answer.
Dividing two fractions
Turn the second fraction upside-down - then multiply them.
Unsimplifying
You can "un-simplify" a fraction by multiplying it top and bottom by the same number.