Answer :
Final answer:
The first pair of fractions (4/5 and 24/30) are equivalent as they result in the same value when cross-multiplying, while the second pair (17/11 and 21/32) are not equivalent fraction as their cross products are not the same.
Explanation:
In mathematics, equivalent fractions are fractions that have the same value or represent the same part of the whole, even though they may look different.
To determine if two fractions are equivalent, you can cross-multiply (also known as cross product) and check if the results are the same. Let's use this method to check the pairs of fractions given.
Pair 1: 4/5 and 24/30. Cross-multiplying, we get 4*30 = 120 and 5*24 = 120. Since the results are the same, these fractions are equivalent fractions.
Pair 2: 17/11 and 21/32. Cross-multiplying, we get 17*32 = 544 and 11*21 = 231. Since these results are not the same, these fractions are not equivalent.
So, the first pair (4/5 and 24/30) are equivalent fractions while the second pair (17/11 and 21/32) are not.
Learn more about Equivalent Fractions here:
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