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# How many equivalent fraction can be written for any given fraction?

Updated: 9/25/2023

Gp26699739836909

Lvl 1
9y ago

An infinite number!

To create an equivalent fraction the numerator and denominator can be multiplied by any number; one such group of numbers that can be used to create a group of equivalent factions is the counting numbers: {1, 2, 3, 4, ...} - multiply the numerator and denominator of the original fraction by 2, then 3, then 4, etc. This group is infinite in size, therefore there are an infinite number of equivalent fractions that can be written for any given fraction.

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Q: How many equivalent fraction can be written for any given fraction?
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