Simplify the following fraction to lowest terms. 16 24 \frac{16}{24}

So, this is a problem that asked us to simplify the following fraction to the lowest terms. And I want you to remember we have a couple of different strategies we can use to solve these problems. Now, over the course of this video and the next few videos, I'm actually going to be going back and forth between the different strategies we can use. But for this one, the strategy I'm going to use to simplify this is to try and find the greatest factor I can to simplify this, and then I'll do it in steps if it needs to be simplified more. But looking at the 16 and the 24, the number that immediately pops into my mind is 8. Because I know that 16 is just 2 times 8. And then I know that 24 is 3 times 8. So I can go ahead and just pull an 8 out of both of these numbers and notice how the 8s will simplify. Those will just reduced down to 1, which is basically just like them canceling. So all we end up with left over is the 2 over the 3, and there's nothing more that we can break these numbers into. They're prime. So this right here would be the answer to the problem, and that's how you can simplify fractions like this to the lowest terms.

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1. Introduction to Macroeconomics

Fractions Review

Macroeconomics

1. Introduction to Macroeconomics

Fractions Review

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객관식

Simplify the following fraction to lowest terms.
$16 over 24$

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{4}{6}$

$\frac{1}{3}$

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검증된 단계별 안내

Identify the fraction to simplify, which is $\frac{16}{24}$.

Find the greatest common divisor (GCD) of the numerator (16) and the denominator (24). This is the largest number that divides both 16 and 24 without leaving a remainder.

Divide both the numerator and the denominator by the GCD to reduce the fraction to its lowest terms. This means calculating $\frac{16 \div \text{GCD}}{24 \div \text{GCD}}$.

Write the simplified fraction after performing the division in step 3.

Verify that the simplified fraction cannot be reduced further by checking if the numerator and denominator share any common divisors other than 1.