# Thread: multiply mix fraction into simplest form

1. ## multiply mix fraction into simplest form

4 1/6 x 4 4/5 x 2 3/4 =

My answer is 120/6600 = 55

Am I right?

2. Originally Posted by Patience
4 1/6 x 4 4/5 x 2 3/4 =

My answer is 120/6600 = 55

Am I right?
Hello,

transform those mixed numbers(?) into fractions:

4 1/6 = 25/6

4 4/5 = 24/5

2 3/4 = 11/4

Then multiply, cancel first equal factors:

$\displaystyle \frac{25}{6} \cdot\frac{24}{5} \cdot\frac{11}{4}=\frac{5}{1} \cdot\frac{4}{1} \cdot\frac{11}{4}=\frac{5}{1} \cdot\frac{1}{1} \cdot\frac{11}{1}=55$

EB

PS.: Your result should have been: 6600/120

3. Originally Posted by Patience
4 1/6 x 4 4/5 x 2 3/4 =

My answer is 120/6600 = 55

Am I right?
Without going into details, I say, no you are not right. Because how can 120/6600 be greater than 1?
Or did you mean, 6600/120? That, sure, is 55.

Now let us see the fractions.
(4 1/6)*(4 4/5)*(2 3/4)
The usual way is to change the improper fractions into proper fractions, then multiply all the numerators, same with all the denominators.
So,
= ((6*4 +1)/6)*((5*4 +4)/5)*((4*2 +3)/4)
= (25/6)*(24/5)*(11/4)
= (25*24*11)/(6*5*4)
= 6600/120
Hey, you are right!