Question

This table shows the relationship of the total number of pieces of fruit to the number of bananas.

Answer 1

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is $\dfrac{6}{5}$ not equivalent to $\dfrac{3}{2}$.

Solution:

If a, b, c are real numbers, then

$\dfrac{a}{b}=\dfrac{a\times c}{b\times c}$

The given fraction is $\dfrac{3}{2}$. It can be written as:

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

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be $\dfrac{6}{4}$, not $\dfrac{6}{5}$.

Therefore, the correct option is A.