Simplify the following fraction to lowest terms. ( B ) 288 24 \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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1. Review of Real Numbers2h 41m

Simplifying Fractions
30m

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9m

The Distributive Property
15m

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44m

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1. Review of Real Numbers

Simplifying Fractions

Intermediate Algebra

1. Review of Real Numbers

Simplifying Fractions

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Multiple Choice

Simplify the following fraction to lowest terms.
(B) $288 over 24$

$144 over 24$

$14$

$18$

$12$

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Verified step by step guidance

Start with the fraction $ \frac{288}{24} $. Our goal is to simplify this fraction to its lowest terms.

Find the greatest common divisor (GCD) of the numerator (288) and the denominator (24). The GCD is the largest number that divides both 288 and 24 without leaving a remainder.

Divide both the numerator and the denominator by the GCD. This means you will calculate $ \frac{288 \div \text{GCD}}{24 \div \text{GCD}} $.

After dividing, write down the simplified fraction. If the denominator becomes 1, the fraction simplifies to just the numerator as a whole number.

Verify your answer by multiplying the simplified numerator and denominator back by the GCD to ensure you get the original fraction $ \frac{288}{24} $.

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Struggling with Intermediate Algebra?

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

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Simplify the following fraction to lowest terms.
(B) $288 over 24$