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Mathematics 19 Online
OpenStudy (anonymous):

3/2+(-7/3)

zepdrix (zepdrix):

Hey there :) We trying to add fractions?\[\large\rm \frac{3}{2}+\left(-\frac{7}{3}\right)\]

OpenStudy (anonymous):

ya. I suck with fractions and forgot how to add them

zepdrix (zepdrix):

Fractions are parts of a whole. The denominator tells us how the whole is being split up, the numerator tells us how many of those pieces we have. So the 3/2 is telling us: Imagine a circle, split it into two pieces. We have 3 of those. We can't easily add things together when the wholes are not cut into the same number of pieces. Ok I'm rambling on and on and on I should probably just get to the point :) My bad

zepdrix (zepdrix):

We need a `common denominator`

OpenStudy (anonymous):

Haha it's ok. And 6?

zepdrix (zepdrix):

6 seems good. So it looks like the first fraction needs a 3 in the bottom. We have to give it a 3 in the top as well though, to keep it balanced.

OpenStudy (anonymous):

Okay

zepdrix (zepdrix):

\[\large\rm \frac{3\cdot3}{3\cdot2}+\left(-\frac{7}{3}\right)\]Giving us\[\large\rm \frac{9}{6}+\left(-\frac{7}{3}\right)\]

zepdrix (zepdrix):

How bout the other fraction? Can you follow those steps and try to fix the other one?

OpenStudy (anonymous):

I think so

OpenStudy (anonymous):

-14/6

zepdrix (zepdrix):

You gave it a 2 in the top and bottom? Ok good.

zepdrix (zepdrix):

\[\large\rm \frac{9}{6}+\left(-\frac{14}{6}\right)\]

OpenStudy (anonymous):

|dw:1449606011385:dw|

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