lesson

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If you share a giant waffle equally with 3 friends so all 4 of you get the exact same amount, how much waffle do you get?
You get one slice out of four equal slices, which we write as the fraction 41β.
What is a Unit Fraction?
A unit fraction is a fraction that represents just one equal part of a whole, so its top number is always 1.
The top number is the numerator, which tells how many parts you have, and the bottom number is the denominator, which tells the total number of equal parts in the whole.
πInteractive diagram
What happens to the size of your slice when you split a whole into more and more equal pieces?
Building Unit Fractions
When you cut a whole bar into b equal parts, each single piece is written as b1β.
πInteractive diagram
Notice that as the denominator gets bigger, the whole is cut into more pieces, so each single unit fraction gets smaller.
That is why 21β of a sandwich is much bigger than 101β of the exact same sandwich.
Can we just cut a shape into any pieces we want and call one piece a fraction?