Which equation is true? Explain your answer.

Question

asked Jul 3, 2023 154k views

2 Answers

Riccardo Cossu · Answer 1 · 2023-07-04T21:42:42+0000

Hello.

In order to find out which option is true, let's simplify all these fractions:

$\displaystyle(3)/(4)$

This fraction is already in its simplest form.

Let's simplify the following fraction:

$\displaystyle(9)/(16)$

This fraction is also in its simplest form.

Thus, Option A is false.

$\displaystyle(6)/(8)$

Divide both the top and bottom by 2:

$\displaystyle(3)/(4)$

Is it equivalent (equal) to
$\displaystyle\frac{4}3}$ ? No, these fractions are reciprocals.

Thus, Option B is false as well; we have two remaining options.

We can see right off the bat that 3 is on no account equal to 8, so we cross out Option C.

Thus, Option D is the correct option.

I hope it helps.

Have a nice day!

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