Determine whether the proportion is true or false. 2.4 6 = 1.2 4 \frac{2.4}{6}=\frac{1.2}{4}

Here, we need to determine whether the proportion 2.4 to 6 is proportional to 1.2 to 4. So to do that, I'm going to use the method of across products here, multiplying 2.4 times 4 and setting that equal to 1.2 times 6. So we have 2.4 times 4 on the left hand side, we want to know is that equal to 1.2 times 6 on the right hand side. So first, let's multiply 2.4 by 4. Setting that up, I have 2.4 up top and 4 below. And since we have a decimal place, we're gonna go ahead and stick our decimal down here in the product in the same place value location, and multiply as normal. 4 x 4 is 16, so we carry the 1, place the 6. 4 times 2 is 8, plus 1 is 9, so 2.4 times 4 is equal to 9.6 on the left. Next, let's do 1.2 x 6, doing the same method. Placing our decimal place, we now multiply like normal, 6 times 2 is 12, so we carry the 1, place the 2. 6 times 1 is 6, plus 1 is 7, so 1.2 times 6 is 7.2, and 7.2 is not the same value as 9.6, so this proportion is false.

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Multiple Choice

Determine whether the proportion is true or false.
$\frac{2.4}{6} = \frac{1.2}{4}$

True

False

Cannot be determined

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Determine whether the proportion is true or false.
$\frac{2.4}{6} = \frac{1.2}{4}$