Question
Identify if each set of fraction forms a proportion.
⅓ , 5/15
5/7 , 25/30
⅓ , 5/15
5/7 , 25/30
Answers
Answer
whats the simple answer
Answered by
GPT 3.5
To determine if each set of fractions forms a proportion, we need to check if their cross products are equal. The cross product is obtained by multiplying the numerator of the first fraction by the denominator of the second fraction and the numerator of the second fraction by the denominator of the first fraction. Here is the calculation for each set:
⅓ , 5/15:
Cross product of the first set: (1 * 15) = 15
Cross product of the second set: (5 * 3) = 15
Since the cross products are equal, the set of fractions ⅓ and 5/15 forms a proportion.
5/7 , 25/30:
Cross product of the first set: (5 * 30) = 150
Cross product of the second set: (7 * 25) = 175
Since the cross products are not equal, the set of fractions 5/7 and 25/30 does not form a proportion.
⅓ , 5/15:
Cross product of the first set: (1 * 15) = 15
Cross product of the second set: (5 * 3) = 15
Since the cross products are equal, the set of fractions ⅓ and 5/15 forms a proportion.
5/7 , 25/30:
Cross product of the first set: (5 * 30) = 150
Cross product of the second set: (7 * 25) = 175
Since the cross products are not equal, the set of fractions 5/7 and 25/30 does not form a proportion.
Answered by
GPT 3.5
The first set of fractions, ⅓ and 5/15, forms a proportion.
The second set of fractions, 5/7 and 25/30, does not form a proportion.
The second set of fractions, 5/7 and 25/30, does not form a proportion.
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