anonymous
  • anonymous
How do I rename a fraction?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1328111969741:dw|
anonymous
  • anonymous
This is the problem.
anonymous
  • anonymous
To convert from a mixed fraction an improper fraction, multiply the whole number and the denominator, then add the numerator

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anonymous
  • anonymous
Then find the lowest common denominator to solve
anonymous
  • anonymous
Could you draw it for me please?
anonymous
  • anonymous
\[39\frac{1}{7}=\frac{274}{7}\]
anonymous
  • anonymous
\[11\frac{5}{6}=\frac{71}{6}\]
anonymous
  • anonymous
to solve, you need to find the LCD; here it is 42. Multiply each numerator by the LCD divided by the denominator
anonymous
  • anonymous
\[\frac{274*6}{42} - \frac{71*7}{42}\]
anonymous
  • anonymous
\[=\frac{1147}{42}\] or \[27 \frac{13}{42}\]
anonymous
  • anonymous
So can you help me with this last one please? I didn't really understand that....:(
anonymous
  • anonymous
|dw:1328112550425:dw|
anonymous
  • anonymous
\[39\frac{1}{7} = \frac{39*7+1}{7}\]
anonymous
  • anonymous
Can you convert \[68\frac{1}{3}\] to an improper fraction using what I told you?
anonymous
  • anonymous
Okay. I will try. here it goes.
anonymous
  • anonymous
|dw:1328112985042:dw|
anonymous
  • anonymous
that's right, now try the other one
anonymous
  • anonymous
|dw:1328113186101:dw|
anonymous
  • anonymous
Yep. Now what is the LCD of 3 and 10?
anonymous
  • anonymous
30?
anonymous
  • anonymous
Yep
anonymous
  • anonymous
So you would multiply 205/3 by what?
anonymous
  • anonymous
Ummmmm.
anonymous
  • anonymous
I really don't know!
anonymous
  • anonymous
You would multiply 205 by 10 because the LCD/denominator is 10, or 10*3=30
anonymous
  • anonymous
So you'd have \[\frac{2050}{30}\]
anonymous
  • anonymous
But the numerator is bigger than the denominator.
anonymous
  • anonymous
Now what would you multiply 497/10 by?
anonymous
  • anonymous
3
anonymous
  • anonymous
Yup
anonymous
  • anonymous
What would that translate to?
anonymous
  • anonymous
I don't know. Sorry. :(
anonymous
  • anonymous
\[\frac{497*3}{30}=\frac{1491}{30}\]
anonymous
  • anonymous
Now you can figure out \[\frac{1491}{30}+\frac{2050}{30}=?\]
anonymous
  • anonymous
Um, It was minus.
anonymous
  • anonymous
But the answer to that is 3541/30.
anonymous
  • anonymous
There's a plus sign in your drawing
anonymous
  • anonymous
Oh yeah! Sorry about that! It is supposed to be a minus sign! -
anonymous
  • anonymous
the answet is 559/30 Correct?
anonymous
  • anonymous
So you'd have \[\frac{559}{30} or 18\frac{19}{30}\]
anonymous
  • anonymous
Thank you so much! Can you watch me on the next one? it won't take long!
anonymous
  • anonymous
|dw:1328113984727:dw|
anonymous
  • anonymous
Okay I will type out the answer.
anonymous
  • anonymous
39 * 6 + 1 = 235
anonymous
  • anonymous
14 * 12 + 7 = 175
anonymous
  • anonymous
And the denominator would be 12 itself!
anonymous
  • anonymous
yes, the LCD is 12
anonymous
  • anonymous
So the answer is 295/12 - 174/12 and the answer is = 121/12
anonymous
  • anonymous
Where are 295 and 174 coming from?
anonymous
  • anonymous
And the final answer is: 10 8/12 = 5 4/6
anonymous
  • anonymous
|dw:1328114480972:dw|
anonymous
  • anonymous
Remember you have this worked out so far: \[\frac{235}{6}-\frac{175}{12}\]
anonymous
  • anonymous
You found the LCD, but you still have to multiply 235 by a number to express it in terms of that LCD.
anonymous
  • anonymous
What number is that?
anonymous
  • anonymous
2
anonymous
  • anonymous
Yes, so now your new fraction is?
anonymous
  • anonymous
470/12
anonymous
  • anonymous
So,\[\frac{470}{12}-\frac{175}{12}\]
anonymous
  • anonymous
295/12
anonymous
  • anonymous
Yep, that's your answer.
anonymous
  • anonymous
So what about the whole numbers? Do I just subtract them?
anonymous
  • anonymous
The whole numbers? You mean to convert to a mixed fraction?
anonymous
  • anonymous
Oh nevermind! I know what I have to do with them. ;)
anonymous
  • anonymous
Your final answer would be \[24\frac{7}{12}\]
anonymous
  • anonymous
Okay thank you so much! One more please?
anonymous
  • anonymous
Ok, post it and show the work. I'll let you know if you go wrong
anonymous
  • anonymous
Okay!
anonymous
  • anonymous
Remember when you find the LCD to multiply the numerator by a factor
anonymous
  • anonymous
|dw:1328115211253:dw|
anonymous
  • anonymous
|dw:1328115329692:dw|
anonymous
  • anonymous
|dw:1328115396858:dw|
anonymous
  • anonymous
The LCD is 10
anonymous
  • anonymous
So,
anonymous
  • anonymous
|dw:1328115537147:dw|
anonymous
  • anonymous
|dw:1328115676081:dw|
anonymous
  • anonymous
Looking good so far

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