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what is 4 4/9 ÷ 1 1/5

 Jul 3, 2015

Best Answer 

 #1
avatar+2972 
+11

Ok this problem requires serious thinking 

covernt all mixed number fractions into improper fractions

so, this is how anon words this situation:

4 4/9 / 1 1/5

We need to make the two fractions improper. Lets start with 4 4/9

9*4=36+4=40=40/9

1*5=5+1=6=6/5

this is division though, so now we do the recipicult, as some really picky math masters say, but if you dont care about all the math vocab, you can just say, flip the numbers 6 and 5 in reverse, so now its 5/6

get rid of division, and replace it with multiplication

making the new equation:

$$40/9 * 5/6$$

as you can see you can cross cancel 40 and 6, divide by 2

40/2=20

6/2=3

now its $$20/9 * 5/3$$

20*5=100

9*3=27

now the improper fraction is:

$${\frac{{\mathtt{100}}}{{\mathtt{27}}}}$$

Now divide 100 by 27 and lets see what we get 

you see, 27 can go into 100 3 times 

do this equation to figure out the remaining:

$${\mathtt{100}}{\mathtt{\,-\,}}\left({\mathtt{27}}{\mathtt{\,\times\,}}{\mathtt{3}}\right) = {\mathtt{19}}$$

Correct answer:

3 19/27 or 100/27

 Jul 3, 2015
 #1
avatar+2972 
+11
Best Answer

Ok this problem requires serious thinking 

covernt all mixed number fractions into improper fractions

so, this is how anon words this situation:

4 4/9 / 1 1/5

We need to make the two fractions improper. Lets start with 4 4/9

9*4=36+4=40=40/9

1*5=5+1=6=6/5

this is division though, so now we do the recipicult, as some really picky math masters say, but if you dont care about all the math vocab, you can just say, flip the numbers 6 and 5 in reverse, so now its 5/6

get rid of division, and replace it with multiplication

making the new equation:

$$40/9 * 5/6$$

as you can see you can cross cancel 40 and 6, divide by 2

40/2=20

6/2=3

now its $$20/9 * 5/3$$

20*5=100

9*3=27

now the improper fraction is:

$${\frac{{\mathtt{100}}}{{\mathtt{27}}}}$$

Now divide 100 by 27 and lets see what we get 

you see, 27 can go into 100 3 times 

do this equation to figure out the remaining:

$${\mathtt{100}}{\mathtt{\,-\,}}\left({\mathtt{27}}{\mathtt{\,\times\,}}{\mathtt{3}}\right) = {\mathtt{19}}$$

Correct answer:

3 19/27 or 100/27

TitaniumRome Jul 3, 2015
 #2
avatar+128577 
0

Very nice, TR....!!!!

 

 

 Jul 3, 2015
 #3
avatar+2972 
0

Thank you thank you

*audience applause

👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻

 Jul 4, 2015

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