SOLUTION: 1. Dividing by 2/3 is the same as multiplying by a.33 b.1.25 c.1.5 d.3 e.6 2. Which of the following fractions is the greatest? a.0.100/0.10 b.0.10/10 c.0.01/0.10

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 1. Dividing by 2/3 is the same as multiplying by a.33 b.1.25 c.1.5 d.3 e.6 2. Which of the following fractions is the greatest? a.0.100/0.10 b.0.10/10 c.0.01/0.10       Log On


   

Question 900722: 1. Dividing by 2/3 is the same as multiplying by
a.33 b.1.25 c.1.5 d.3 e.6
2. Which of the following fractions is the greatest?
a.0.100/0.10 b.0.10/10 c.0.01/0.10 d.0.001/0.0001 e.0.001/100
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
1. Let x to be a number to undergo multiplication and division, while y to be a factor of this multiplication.
x ÷ 2%2F3 = x x y
x x 3%2F2 = x x y
3x%2F2 = x x y
3x%2F2 ÷ x = y
3x%2F2 x 1%2Fx = y
3x%2F2x = y
3%2F2 = y
y = 3%2F2 = 1.5
Therefore, answer is c.1.5 .
2. Analyze every option given.
a. 0.100%2F0.10 = 1
b. 0.10%2F10 = 0.01
c. 0.01%2F0.10 = 0.1
d. 0.001%2F0.0001 = 10 ---> This is the greatest number among these options.
e. 0.001%2F100 = 0.00001
Therefore, answer is d.0.001/0.0001 .