# Thread: please help

1. ## please help

i need help with this problem.

6 3/6=39/6

how to do this?

2. 6 3/6 is "six and three-sixths", or "6 ones plus 3 sixths". You want to get this as a number of sixths. Since a one is 6 sixths, the 6 ones are 6 times 6 sixths. So you have 6 times 6 sixths plus 3 sixths, that is, 36 sixths plus 3 sixths, or 39 sixths, which is just 39/6.

3. Originally Posted by josiemosie
i need help with this problem.

6 3/6=39/6

how to do this?
Since rgep's post is a tongue-twister (and since I haven't answered in a while), I shall reexplain.

we have: $\displaystyle 6+\frac{3}{6}$

which you can change to: $\displaystyle \overbrace{(36\div 6)}^{\text{notice this equals six}}+\frac{3}{6}$

then we turn it into a fraction: $\displaystyle \frac{36}{6}+\frac{3}{6}$

now we add them together: $\displaystyle \frac{36+3}{6}$

and so we get: $\displaystyle \frac{39}{6}$

4. To change $\displaystyle a\frac{b}{c}$ to a improper fraction multiply a times c and add b, all over c

For instance, in yours, a=6, b=3, c=6

6*6+3=39; all over c: 39/6

Which reduces to 13/2.

5. Hello, josiemosie!

Where did this problem come from?
It is very strangely written . . .

$\displaystyle 6\,\frac{3}{6}\;=\;\frac{39}{6}$

The truth is: .$\displaystyle 6\frac{3}{6}\:=\:\boxed{\frac{13}{2}}$ . . . Who leaves their fractions unreduced??

Why didn't they start with $\displaystyle 6\frac{1}{2}$ and simplify to $\displaystyle \frac{13}{2}$ ?

If we're not supposed to reduce our fractions, we can have:

. . Show that: .$\displaystyle 1\frac{300}{500} \:=\:\frac{13,840}{8,650}$ . . . It makes as much sense.