Which choice shows the correct way to write

Question

16 over 24

in lowest terms?

$A . \frac{16}{24} = \frac{8 + 8}{8 + 16} = \frac{8}{16} = \frac{1}{2}$

$B . \frac{16}{24} = \frac{4 \cdot 4}{4 \cdot 6} = \frac{4}{6}$

$C . \frac{16}{24} = \frac{8 \cdot 2}{8 \cdot 3} = \frac{2}{3}$

Accepted Answer

Hello today we're going to be simplifying the given fraction. So what we are given is 36/63. And in order to simplify this, you want to divide both the numerator and denominator by a common term shared between 63 and 36. And what is a number that is shared between 36 and 63? Well both 36 and 63 are divisible by three. So if you divide both the numerator and denominator by three, what that's going to give you is 12/21. And now you want to go ahead and ask yourself again, Is there a number that can divide both 12 and 21 by in order to simplify the fraction? Well a common factor between 12 and 21 is also three. So if I divide both 12 and 21 by three, what this is going to give me is 4/7. And just to see if 4/7 is the simplest form you have to ask yourself again. Is there a number that you can divide both four and seven by to reduce it even further? And the answer to that is no as seven doesn't have any common factors but with four. So that means that 4/7 is going to be the simplest form of 36/63. And with that being said, the answer to this problem is going to be be So I hope this video helps you understand how to simplify fractions and I'll go ahead and see you all in the next video

Which choice shows the correct way to write $16 over 24$ in lowest terms?
$A . \frac{16}{24} = \frac{8 + 8}{8 + 16} = \frac{8}{16} = \frac{1}{2}$
$B . \frac{16}{24} = \frac{4 \cdot 4}{4 \cdot 6} = \frac{4}{6}$
$C . \frac{16}{24} = \frac{8 \cdot 2}{8 \cdot 3} = \frac{2}{3}$

Key Concepts

Simplifying Fractions

Greatest Common Divisor (GCD)

Correct Fraction Reduction Steps

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