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You can subtract two fractions by adding the first to the opposite of the fraction to be subtracted

publish date2024/04/27 22:21:57.184763 UTC

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True
False

Correct Answer

True

Explanation

To subtract one fraction from another, you can indeed add the first fraction to the opposite of the second fraction. This is because subtraction is essentially the same as adding the opposite.

So, if you have a fraction \(\frac{\text{a}}{\text{b}}\) and you want to subtract another fraction \(\frac{\text{c}}{\text{d}}\), you can add \(\frac{\text{a}}{\text{b}}\) ​ to the opposite of \(\frac{\text{c}}{\text{d}}\), which is \(-\frac{\text{c}}{\text{d}}\)​ . Mathematically, it looks like this: 

$\frac{\text{a}}{\text{b}} - \frac{\text{c}}{\text{d}} = \frac{\text{a}}{\text{b}} + \left(- \frac{\text{c}}{\text{d}}\right)$

Reference

Mathematics for college students


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