Question

Paula says that 2/3 is equivalent to 4/9 because 4 is a multiple of 2 and 9 is a multiple of 3. explain her error.

Answer 1

Answer:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

Step-by-step explanation:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.

Thus, the correction is as follows:

Given the fraction

$\frac{2}{3}$

Multiply the nominator and denominator of the fraction by 2

$\frac{2\times 2}{3\times 2}=\frac{4}{6}$

Thus, the 4/6 is the correct equivalent expression of 2/3.