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Mr Jack thinks that ⅘ is equivalent to 9/10 because 4+5=9 and 5+5=10 Explain what was incorrect about this. Please use the terms numerator and denominator in your explanation, below.

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Answer:

See Explanation

Explanation:

Given


(4)/(5) = (9)/(10) --- Jack's thought

Because:


(4+5)/(5+5) = (9)/(10)

Jack's thought is incorrect.

This is so because, to get an equivalent fraction; you don't add common terms to the numerator and the denominator but instead you multiply the numerator and the denominator by a common term.

Take for instance, the common term is: 2

The fraction becomes:


(4 * 2)/(5 * 2) = (8)/(10)

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