HOW many equivalent fractions can be written for any given fracton? explain

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

You could do 5/10 and the groups would be 2 groups because you can divide 5 by 1 and itself giving you 2 and you can divide 10 by 10 and 5