How do I rename a fraction?

- anonymous

How do I rename a fraction?

- schrodinger

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- anonymous

|dw:1328111969741:dw|

- anonymous

This is the problem.

- 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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## More answers

- anonymous

Then find the lowest common denominator to solve

- anonymous

Could you draw it for me please?

- anonymous

\[39\frac{1}{7}=\frac{274}{7}\]

- anonymous

\[11\frac{5}{6}=\frac{71}{6}\]

- anonymous

to solve, you need to find the LCD; here it is 42. Multiply each numerator by the LCD divided by the denominator

- anonymous

\[\frac{274*6}{42} - \frac{71*7}{42}\]

- anonymous

\[=\frac{1147}{42}\] or
\[27 \frac{13}{42}\]

- anonymous

So can you help me with this last one please? I didn't really understand that....:(

- anonymous

|dw:1328112550425:dw|

- anonymous

\[39\frac{1}{7} = \frac{39*7+1}{7}\]

- anonymous

Can you convert \[68\frac{1}{3}\] to an improper fraction using what I told you?

- anonymous

Okay. I will try. here it goes.

- anonymous

|dw:1328112985042:dw|

- anonymous

that's right, now try the other one

- anonymous

|dw:1328113186101:dw|

- anonymous

Yep. Now what is the LCD of 3 and 10?

- anonymous

30?

- anonymous

Yep

- anonymous

So you would multiply 205/3 by what?

- anonymous

Ummmmm.

- anonymous

I really don't know!

- anonymous

You would multiply 205 by 10 because the LCD/denominator is 10, or 10*3=30

- anonymous

So you'd have
\[\frac{2050}{30}\]

- anonymous

But the numerator is bigger than the denominator.

- anonymous

Now what would you multiply 497/10 by?

- anonymous

3

- anonymous

Yup

- anonymous

What would that translate to?

- anonymous

I don't know. Sorry. :(

- anonymous

\[\frac{497*3}{30}=\frac{1491}{30}\]

- anonymous

Now you can figure out
\[\frac{1491}{30}+\frac{2050}{30}=?\]

- anonymous

Um, It was minus.

- anonymous

But the answer to that is 3541/30.

- anonymous

There's a plus sign in your drawing

- anonymous

Oh yeah! Sorry about that! It is supposed to be a minus sign! -

- anonymous

the answet is 559/30 Correct?

- anonymous

So you'd have \[\frac{559}{30} or 18\frac{19}{30}\]

- anonymous

Thank you so much! Can you watch me on the next one? it won't take long!

- anonymous

|dw:1328113984727:dw|

- anonymous

Okay I will type out the answer.

- anonymous

39 * 6 + 1 = 235

- anonymous

14 * 12 + 7 = 175

- anonymous

And the denominator would be 12 itself!

- anonymous

yes, the LCD is 12

- anonymous

So the answer is 295/12 - 174/12 and the answer is = 121/12

- anonymous

Where are 295 and 174 coming from?

- anonymous

And the final answer is: 10 8/12 = 5 4/6

- anonymous

|dw:1328114480972:dw|

- anonymous

Remember you have this worked out so far:
\[\frac{235}{6}-\frac{175}{12}\]

- anonymous

You found the LCD, but you still have to multiply 235 by a number to express it in terms of that LCD.

- anonymous

What number is that?

- anonymous

2

- anonymous

Yes, so now your new fraction is?

- anonymous

470/12

- anonymous

So,\[\frac{470}{12}-\frac{175}{12}\]

- anonymous

295/12

- anonymous

Yep, that's your answer.

- anonymous

So what about the whole numbers? Do I just subtract them?

- anonymous

The whole numbers? You mean to convert to a mixed fraction?

- anonymous

Oh nevermind! I know what I have to do with them. ;)

- anonymous

Your final answer would be \[24\frac{7}{12}\]

- anonymous

Okay thank you so much! One more please?

- anonymous

Ok, post it and show the work. I'll let you know if you go wrong

- anonymous

Okay!

- anonymous

Remember when you find the LCD to multiply the numerator by a factor

- anonymous

|dw:1328115211253:dw|

- anonymous

|dw:1328115329692:dw|

- anonymous

|dw:1328115396858:dw|

- anonymous

The LCD is 10

- anonymous

So,

- anonymous

|dw:1328115537147:dw|

- anonymous

|dw:1328115676081:dw|

- anonymous

Looking good so far

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