Simplify the following fraction to lowest terms. − 28 49 -\frac{28}{49}

This problem asks us to simplify this fraction into lowest terms. Now, I mentioned in the previous problem, if you watch that video, that we have a couple of different strategies that we can use for simplifying fractions. Now, the way I'm going to simplify this one is to simply factor and break everything down as much as possible and then see what will ultimately simplify. Now, we have -28/49, and we don't have to worry too much about this negative sign, cause I just know that's gonna make the whole fraction negative. But what I really care about is breaking down this numerator and denominator. Now, starting with the numerator, 28, that's the same thing as 2 times 14. And 49, well, that's the same thing as 7 x 7. Right? Now, I'm trying to break these down completely. Now, 2 is a prime number, 7s are a prime number, but 14 is not prime, because 14 is the same thing as 2 times 7. So this is all going to be 2 times, and then this will break down into 2 times 7, right? That 14 just broke down into 2 times 7, and then all of this will be over 7 x 7, in which case 1 of the 7s on top will cancel or reduce with one of the 7s on bottom. So what that's going to leave me with is -2 times 2, which is 4 over the last 7 that we have right about here, and this will not break down any farther, so -4/7 is the solution.

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1. Introduction to Macroeconomics3h 20m

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Three Key Economic Ideas
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Productive and Allocative Efficiency
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7m

Circular Flow Diagram
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Graphing Review
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Percentage and Decimal Review
31m

Fractions Review
48m

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Production Possibilities Frontier (PPF) - Introduction and Productive Efficiency
18m

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28m

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1. Introduction to Macroeconomics

Fractions Review

Macroeconomics

1. Introduction to Macroeconomics

Fractions Review

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Simplify the following fraction to lowest terms.
$- \frac{28}{49}$

$- \frac{4}{7}$

$- \frac{3}{7}$

$\frac{3}{7}$

$\frac{4}{7}$

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Identify the fraction to simplify: $-\frac{28}{49}$.

Find the greatest common divisor (GCD) of the numerator (28) and the denominator (49).

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

Keep the negative sign in front of the fraction as it applies to the entire fraction.

Write the simplified fraction as $-\frac{\text{simplified numerator}}{\text{simplified denominator}}$.

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Simplify the following fraction to lowest terms.−2849-\(\frac{28}{49}\)

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Simplify the following fraction to lowest terms.
$- \frac{28}{49}$