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Mathematics 14 Online
OpenStudy (anonymous):

What is 7*2 3/7? I think its 14 3/7

zepdrix (zepdrix):

Hey flower, your expression isn't clearly written. Is this what was intended?\[\large\rm 7\cdot 2\frac37\]

OpenStudy (anonymous):

yes!

OpenStudy (anonymous):

Sorry about that.

zepdrix (zepdrix):

You need to give the 7 to the 2, but also to the fractional part,\[\large\rm 7\cdot\left(2\frac37\right)\quad=(7\cdot2)\left(\frac{7\cdot3}{7}\right)\]

zepdrix (zepdrix):

Maybe that's unclear the way I wrote that hehe. Have you been introduced to improper fractions yet? :) converting to an improper fraction might make things easier.

OpenStudy (anonymous):

I have been introduced to it I just don't get it.

zepdrix (zepdrix):

Ummm so uh

OpenStudy (anonymous):

14 21/7 is what you get out of that.

zepdrix (zepdrix):

Yes :) But 21/7 will simplify nicely.

OpenStudy (anonymous):

Can you explain that too, im sorry I havnt done these in so long. :/

zepdrix (zepdrix):

Hmm I'm trying to think of the right way to explain this :) What grade are you in? You probably haven't been introduced to the idea of "cancellation", hmm

OpenStudy (anonymous):

im in 7th

OpenStudy (anonymous):

I'm really stupid when it comes to fractions. cx

zepdrix (zepdrix):

\[\large\rm 2\frac37\]Let's try to convert to an improper fraction, if it's too confusing, we can try something else. If I draw a circle, and let that circle represent the number 1,|dw:1455729391745:dw|I can split this circle into 7 equal pieces as shown here. So this illustrates that the number 1 can be represented by 7 out of 7 pieces. Or in fractional terms, 7/7.

OpenStudy (anonymous):

Yea

zepdrix (zepdrix):

|dw:1455729485442:dw|So if we have two full units, we have 14 of these 7 pieces, yes? Or fractionally 14/7

OpenStudy (anonymous):

Yea I get that

zepdrix (zepdrix):

Therefore:\[\large\rm \color{orangered}{2}\frac37\quad=\color{orangered}{\frac{14}{7}}+\frac37\]So 2 and 3/7 as an improper fraction gives us\[\large\rm \frac{17}{7}\](Remember that with fraction addition, we only add the numerators).

OpenStudy (anonymous):

Hmm

OpenStudy (anonymous):

So what would the answer be?

zepdrix (zepdrix):

Try not to get intimidated by this denominator. It's really just the "name" of the pieces. So our pieces are "sevens" or "sevenths". We have a bunch of these sevens.|dw:1455729849718:dw|two whole sets of sevens and another 3 sevens.

zepdrix (zepdrix):

|dw:1455729898354:dw|

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