Answer :
Final answer:
The equivalent fraction to 24/30 having a numerator of 4 is 4/5. This was found by simplifying the original fraction from 24/30 to 4/5 and cross-multiplying to confirm the equivalence.
Explanation:
To find an equivalent fraction to 24/30 with a numerator of 4, we should first simplify 24/30 to its lowest term.
This can be done by dividing both the numerator (24) and the denominator (30) by their greatest common divisor (GCD) which in this case is 6.
So, 24/30 simplifies to 4/5.
To check if our new fraction is equivalent to the original, we can cross multiply these fractions.
For two fractions to be equivalent, the product of the numerator of the first fraction and the denominator of the second must be equal to the product of the denominator of the first fraction and the numerator of the second.
In this case 24*5 equals 4*30, which verifies that 4/5 is equivalent to 24/30.
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