Question

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.

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

$\frac{4}{5} = \frac{9}{10}$ --- Jack's thought

Because:

$\frac{4+5}{5+5} = \frac{9}{10}$

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:

$\frac{4 * 2}{5 * 2} = \frac{8}{10}$