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Introduction to Fractions

Parts of a Whole

Imagine you have a pizza that you need to share with friends. You cut it into equal slices. A fraction is simply a way to talk about some of those slices. It's not a whole pizza, but a part of it.

Fractions represent parts of a whole.

Whether it's a pizza, a chocolate bar, or a tank of gas, a fraction tells us how much of that whole we're dealing with. It’s a number that’s written like a division problem, with one number sitting on top of another, separated by a line.

The Top and Bottom Numbers

Every fraction has two key parts: the number on top and the number on the bottom. Each one tells you something different about the pieces of the whole.

denominator

noun

The bottom number of a fraction. It tells you how many equal parts the whole is divided into.

Think of the denominator as the total number of slices in your pizza. If you cut it into 8 equal slices, the denominator is 8. If you cut it into 4, the denominator is 4.

numerator

noun

The top number of a fraction. It tells you how many of the equal parts you have.

So, if your pizza is cut into 8 slices and you eat 3 of them, you've eaten 3/8 of the pizza. The 3 is the numerator (how many slices you had) and the 8 is the denominator (the total number of slices).

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Fractions in Real Life

You use fractions all the time, maybe without even thinking about it. They show up in cooking, telling time, and even shopping.

SituationThe WholeThe FractionWhat it Means
Baking a cake1 cup of flour1/2You need half of the full cup.
Telling time1 hour1/4A quarter, or 15 minutes, of the hour has passed.
Sharing candyA bag of 10 candies3/10You gave away three out of the ten candies.
Phone BatteryA full charge1/2The battery is half empty, or half full.

Understanding what the numerator and denominator mean is the first step. Once you're comfortable with this, you're ready to explore what else you can do with fractions.