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Select all the statements that show correct reasoning for finding [tex]\frac{14}{15}[/tex] divided by [tex]\frac{7}{5}[/tex].

Answer :

The correct reasoning for finding 14/15 divided by 7/5 includes the following statements:

"To divide fractions, we can multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction."

"Multiplying the numerators and denominators gives (14 * 5) / (15 * 7)."

"Simplifying the numerator and denominator, we get 70/105."

"We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 35. This gives us 2/3."

These statements demonstrate the correct reasoning for dividing fractions using the multiplication of the reciprocal method. By multiplying the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction, we obtain a new fraction. Then, simplifying the resulting fraction by dividing the numerator and denominator by their greatest common divisor gives us the simplified quotient. Therefore, the correct result for 14/15 divided by 7/5 is 2/3.

Learn more about reciprocal method here :

https://brainly.com/question/32105184

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