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In Mathematics / Middle School | 2014-09-17

Name three different pairs of fractions that have the same product when multiplied. Explain how you got your answer.

Asked by liyi

Answer (2)

10 5 ​ ∗ 40 10 ​ = 400 50 ​ "> 8 2 ​ ∗ 4 2 ​ = 32 4 ​ < s p an > 4 1 ​ ∗ 2 1 ​ = 8 1 ​
8 1 ​ is obtained by multiplying 2 1 ​ and 4 1 ​ You basically create equivelant fractions for both 1/2 and 1/4 and multiply by each other. This way you get the same result always.

Answered by mackiemesser | 2024-06-10

Three pairs of fractions that yield the same product can be found by maintaining the relationship of their numerators and denominators. For example, 2 1 ​ and 4 3 ​ multiply to 8 3 ​ , while 10 5 ​ and 4 1 ​ both simplify to 8 1 ​ . By considering equivalent fractions, we can manipulate them to achieve the same results.
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Answered by mackiemesser | 2024-12-26