Simplify the following fraction to lowest terms. ( B ) 288 24 \left(B\right)\frac{288}{24}

this problem, we're asked to simplify the following fraction to lowest terms. The fraction that we're given here is 288 over 24. Now looking at this fraction, it might be a bit intimidating to think of how to write this in lowest terms. But remember, we don't have to know the greatest common factor right off the bat. We can choose any factor to start with and simply work in stages, continuing on until our numerator and denominator have no remaining common factors. So let's start with what's the easiest factor to recognize that these two values have in common. Both two hundred and eighty eight and twenty four are even numbers. So that means they're both going to be divisible by two. In other words, they both have a factor of two. So let's factor our numerator and denominator here using that common factor of two. If I take 288, I can rewrite it as 144 times two. And I can rewrite 24 as 12 times two. Now, this will allow those twos to cancel because two over two is simply one. So I can rewrite this fraction as 144 over 12. Now it might be a bit more clear to see how this fraction reduces to lowest terms. Because you might recognize that 144 can be written as 12 times 12. And I can rewrite 12 as simply 12 times one. So now I can see that these two values have a common factor of 12. So 12 over 12 cancels out because it just goes to one, leaving me with just 12 over one. So I can keep that as a fraction 12 over one, or more simply I can simply rewrite this as the value 12. Let us know if you have any questions, and I'll see you in the next one to keep practicing.

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Three Key Economic Ideas
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1. Introduction to Microeconomics

Fractions Review

Microeconomics

1. Introduction to Microeconomics

Fractions Review

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Simplify the following fraction to lowest terms.
$(B) \frac{288}{24}$

$144 over 24$

$14$

$18$

$12$

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Identify the original expression as $\left(B\right) \times \frac{288}{24}$, which means $B$ multiplied by the fraction $\frac{288}{24}$.

Simplify the fraction $\frac{288}{24}$ by finding the greatest common divisor (GCD) of 288 and 24.

Divide both the numerator and the denominator of the fraction by their GCD to reduce the fraction to its lowest terms.

Rewrite the expression as $B$ multiplied by the simplified fraction obtained from the previous step.

Express the final simplified form as $B$ times the simplified number, completing the simplification process.

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Simplify the following fraction to lowest terms.(B)28824\(\left\)(B\(\right\))\(\frac{288}{24}\)

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Simplify the following fraction to lowest terms.
$(B) \frac{288}{24}$