Simplify the following fraction to lowest terms. ( C ) 28 56 \frac{28}{56}

This problem, we're asked to simplify the following fraction to lowest terms. And the fraction that we're given here is 28 over 56. Remember to write in lowest terms means that our numerator and denominator have no common factors. We want to be able to cancel all of them out. Now in order to write in lowest terms, you don't have to recognize the greatest common factor between your numerator and denominator right away. You can simply recognize any common factor and continue working in stages until your numerator and denominator have no remaining common factors. Now there are multiple different common factors that you may recognize right off the bat. For me, when I see the numbers twenty eight and fifty six, the factor that I think of them as having in common is seven. Because I know that 28 is simply seven times four, and fifty six is seven times eight. So having factored these values as seven times four and seven times eight, I can see that seven and seven will cancel out because that just goes to one. This leaves me with four over eight, but these values still have remaining factors because four is simply four times one and eight is four times two. So this allows me to cancel out four over four because that goes to one, leaving me with just one over two. Now my numerator and my denominator, one and two, have no remaining common factors. So this is my fraction in lowest terms. Now you might have used a different common factor in order to get here. You might have already recognized that 56 is simply 28 times two and gone straight from 28 over 56 to one half. And if you did, that's great. But remember that you can recognize any common factor in order to simplify fractions. Don't feel like you have to recognize the largest one right away. Let us know if you have any questions, and I'll see you soon.

1. Review of Real Numbers

Simplifying Fractions

Beginning Algebra

1. Review of Real Numbers

Simplifying Fractions

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Multiple Choice

Simplify the following fraction to lowest terms.
(C) $28 over 56$

$2$

$$\frac$12$

$$\frac$13$

$$\frac$23$

Verified step by step guidance

Identify the fraction to simplify: $\frac{28}{56}$.

Find the greatest common divisor (GCD) of the numerator (28) and the denominator (56). The GCD is the largest number that divides both 28 and 56 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 $\frac{28 \div \text{GCD}}{56 \div \text{GCD}}$.

Write the simplified fraction after division. This fraction will have the same value as the original but with smaller numerator and denominator.

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

5:07m

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Struggling with Beginning Algebra?

Simplify the following fraction to lowest terms.(C) 2856\(\frac{28}{56}\)

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Simplify the following fraction to lowest terms.
(C) $28 over 56$