lesson

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Imagine finding 4 shiny marbles on your desk, and your friend whispers that this is only 31β of the full bag.
How can you figure out how many marbles are in the entire bag without dumping them all out?
What a Unit Fraction Tells Us
A unit fraction is any fraction with a top number (numerator) of 1, such as 21β, 31β, or 51β, showing exactly one equal share.
The bottom number, or denominator, tells you the total number of equal parts needed to build the whole.
πInteractive diagram
Because every part in a fraction must be equal, each of the 3 parts must hold 4 marbles.
To find the whole, you multiply the part by the denominator: 4Γ3=12 marbles.
Does this same trick work when measuring lengths or areas instead of counting objects?
Finding the Total Length or Area
Suppose a piece of ribbon is 5Β cm long, and this piece is exactly 41β of a whole spool.
πInteractive diagram
The denominator 4 means the full spool has 4 equal pieces.