120 different arrangements
Answer: 1 3/4 is your mixed fraction and 7/4 is the improper fraction.
Step-by-step explanation:
I assume you mean:
[x^(5/6)]/[x^(1/6)]
The rule for dividing similar bases with different exponents is:
(a^b)/(a^c)=a^(b-c)
In this case we have:
x^(5/6-1/6)
x^(4/6)
x^(2/3)
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......

The common factors are: 2, 2 and 3
Thus the GCF 
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth 
Number of pieces for gold cloth
and
Number of pieces for white cloth 
The answer is 3. Divide 5375 by 4 to get 1343.75. Remainder for each friend is .75, so multiply .75 by 4. 3 cards left over.