Simplify

- anonymous

Simplify

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- anonymous

\[\frac{ 5 }{4} .\frac{ 22 }{ 25 }\]

- anonymous

11/10
110/100
27/29
1 1/10

- anonymous

@ganeshie8 @ParthKohli

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## More answers

- UsukiDoll

what is 5 x 22?
what is 4 x 25?

- anonymous

110 and 100

- anonymous

@Mimi_x3

- UsukiDoll

oh hey sorry about the wait
we can reduce this fraction further \[\frac{110}{100} \]
what is 110 divided by 10
and what is 100 divided by 10

- anonymous

11 and 10

- UsukiDoll

yes so your simplified fraction is \[\frac{11}{10} \]

- anonymous

ow do u divide fractions

- UsukiDoll

dividing fractions doesn't exist
you have to flip the second fraction and you'll end up multiplying instead.

- UsukiDoll

|dw:1439371095956:dw|

- UsukiDoll

|dw:1439371122278:dw|

- anonymous

I said divide

- UsukiDoll

yeah I know, but dividing fractions doesn't exist.. you have to flip the second fraction and then use multiplication.
did you see the example I've drawn?

- UsukiDoll

|dw:1439371215666:dw|

- UsukiDoll

the flipped version of 4/5 is 5/4
then use multiplication |dw:1439371260995:dw|

- UsukiDoll

though for this particular problem, we were just asked to simplify (as in reduce the fractions) , so \[\frac{11}{10} \] is the final answer

- anonymous

i know i just have a question on how to divide two fractions if i were given the problem

- UsukiDoll

see this
https://www.mathsisfun.com/fractions_division.html
in the examples, they are flipping the second fraction and using multiplication .

- UsukiDoll

|dw:1439371470932:dw|

- anonymous

oh ok

- anonymous

or cross divide or o it the same way

- UsukiDoll

no just multiply straight away
numerator x numerator
------------------------
denominator x denominator

- UsukiDoll

|dw:1439371566510:dw|

- UsukiDoll

but we can't leave it like that because this fraction can be reduced by dividing both numbers by 2 |dw:1439371617570:dw|

- anonymous

thnx

- anonymous

wait why did you divide by 2 on both sides

- UsukiDoll

6 and 2 are both even numbers.... they are also divisible by 2
6 divided by 2 is 3
3 x 2 = 6
similarly
2 divided by 2 is 1
1 x 2 = 2

- UsukiDoll

so the fraction after I reduced would be 3/1 or just 3
3 divided by 1 is just 3 that whole number

- anonymous

so you divide both sides by the number the two are divisible by

- UsukiDoll

6 is divisible by 2
2 is divisible by 2
so we can divide further until we can't divide anymore
3/1 is the closest I can obtain the simplified fraction. I can't find a common divisible number.

- Jhannybean

Man...I wish I could get that chrome app working on my browser too. Too bad it disables.

- UsukiDoll

another example is 6/18
6 is divisible by 6
18 is divisible by 6
6 divided by 6 is 1
18 divided by 6 is 3
so 6/18 in simplified for is 1/3
6 is also divisible by 3
18 is also divisible by 3
but we have to take more steps
6 divided by 3 is 2
18 divided by 3 is 6
2/6
I can simplify further
2 is divisible by 2
6 is divisible by 2
2 divided by 2 is 1
6 divided by 2 is 3
1/3
although I've obtained the same result, using smaller numbers takes too much time.

- UsukiDoll

I used a bigger number and got a simplified fraction in a step
vs
using smaller numbers but I'm getting fractions that are still reducible, so I have to reduce further... now I took a bunch of steps.
In a timed test, it's a better idea for me to use bigger numbers.

- anonymous

is it the same if you put a number in front of a fraction liike 2 1/5

- UsukiDoll

that's a mixed number... if we want to reduce this fraction or figure out if this fraction can be reduced we need to change it into an improper fraction.

- UsukiDoll

|dw:1439372358709:dw| 11 is going to be the numerator

- UsukiDoll

|dw:1439372430464:dw| since 11 and 5 are both prime numbers, we're done. That's the closest simplified fraction we can get.

- anonymous

thnx for the help

- UsukiDoll

you're welcome :)

- anonymous

hold onn srry can u do
2/3 divided by 4/5

- UsukiDoll

yeah sure
|dw:1439372796026:dw| this is our division problem

- UsukiDoll

dividing fractions don't exist . remember this? |dw:1439372833144:dw| we apply this rule to the problem |dw:1439372842706:dw|

- UsukiDoll

so now we multiply the numerator and the denominator
|dw:1439372901391:dw|

- UsukiDoll

now we notice that the number 10 is divisible by 2 and the number 12 is divisible by 2
2 x 5 = 10
2 x 6 = 12
10 divided by 2 is 5
and
12 divided by 2 is 6

- UsukiDoll

|dw:1439372961248:dw|

- anonymous

is it 6/5 or 5/6

- UsukiDoll

5/6

- anonymous

what \about
3 /4 divided by 5/6

- UsukiDoll

the same process applies
just flip the 5/6
the flipped version is 6/5
|dw:1439373127127:dw|

- anonymous

nooo

- anonymous

i meant 3 1/4 divided by 5/6

- UsukiDoll

oh sorry about that XD! ok... first we need to change that mixed fraction into an improper fraction

- UsukiDoll

|dw:1439373285062:dw|

- UsukiDoll

|dw:1439373372646:dw|

- UsukiDoll

|dw:1439373411704:dw|

- UsukiDoll

so now...
numerator x numerator
--------------------------
denominator x denominator
13 x 6 78
------- ------
4 x 5 20

- UsukiDoll

this fraction can be reduced as both numbers are divisible by 2

- UsukiDoll

78 divided by 2 = 39
------------ ----
20 divided by 2 10
now we got an odd number on the numerator... we got a problem... 39 is divisible by 3 or 12
10 is divisible by 2 or 5
since none of those divisibility numbers match, we can't reduce further.

- anonymous

thank you p much i might have one more

- anonymous

When Meriden made a cake she used a recipe calling for 3/4 cup of sugar. She was planning to make a huge cake for a family get-together, which means that she was going to triple the recipe (three times the ingredients). How much sugar will she need?

- anonymous

for this one i said it was 2 1/4

- UsukiDoll

you have it right :)
3/4 cup of sugar is just one cake
so we have to triple the recipe meaning
3/4 x 3
which is needed to make 3 cakes combined into a super cake
|dw:1439373846124:dw|
I'm going to change this improper fraction into a mixed fraction
|dw:1439373871640:dw|

- UsukiDoll

9/4 is the same as 2 1/4
improper fraction -> mixed fraction
2 1/4 is the same as 9/4
mixed fraction -> improper fraction

- anonymous

am i correct

- UsukiDoll

yes

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