Simplify the following fraction to lowest terms. ( A ) 6 15 \frac{6}{15}

this problem, we're asked to simplify the following fraction to lowest terms. And the fraction that we're given here is six fifteenths. Now remember that to simplify to lowest terms means that our numerator and denominator should have no remaining common factors. So So we wanna cancel out all of those common factors. And the way that we do that is by first factoring both our numerator and denominator. Now looking at my numerator and my denominator, I do notice that these two terms will have a factor in common because I know that both six and fifteen are divisible by three. So if I write these as having factors of three, I can write six as three times two. And I can write 15 as three times five. In doing that, this allows me to see that three factor that they have in common and cancel it out because three over three is simply one. So that gives me my remaining fraction here as being two over five. Two and five have no common factors. So this gives me my fraction in lowest terms, two fifths. Let me know if you have any questions and I'll see you in the next one.

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Multiple Choice

Simplify the following fraction to lowest terms.
(A) $6 over 15$

$\frac{3}{5}$

$2 over 15$

$\frac{2}{5}$

$\frac13$

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Verified step by step guidance

Identify the numerator and denominator of the fraction. Here, the fraction is $\frac{6}{15}$, where 6 is the numerator and 15 is the denominator.

Find the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both 6 and 15 without leaving a remainder.

Divide both the numerator and the denominator by the GCD to simplify the fraction. This step reduces the fraction to its lowest terms.

Write the simplified fraction using the results from the division. This fraction will have the same value as the original but with smaller numbers.

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

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Simplify the following fraction to lowest terms.(A) 615\frac{6}{15}

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Simplify the following fraction to lowest terms.
(A) $6 over 15$