SOLUTION: Evalute the expression. 23/41 divided by 25/82 - 3/10

Algebra ->  Inequalities -> SOLUTION: Evalute the expression. 23/41 divided by 25/82 - 3/10      Log On


   

Question 65780This question is from textbook Pre-Algebra
: Evalute the expression.
23/41 divided by 25/82 - 3/10 This question is from textbook Pre-Algebra

Found 2 solutions by Nate, Edwin McCravy:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(23/41)/(25/82) - 3/10
(23/41)(82/25)
46/25 - 3/10
92/50 - 15/50
77/50

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Evalute the expression.
23/41 divided by 25/82 - 3/10

Nate above took it that your problem is 23%2F41÷25%2F82+-+3%2F10

It occurred to me that you could have
meant this instead:

23%2F41÷%2825%2F82+-+3%2F10%29

Work in the parentheses first.

The LCD of 82 and 10 is 410.

So to make 25%2F82 have a denominator of
410, we multiply it by 5%2F5.
Also to make 3%2F10 have a denominator of
410, we multiply it by 41%2F41. So we have:

23%2F41÷%2825%2F82%2A5%2F5+-+3%2F10%2A41%2F41%29


23%2F41÷%28125%2F410+-+123%2F410%29

Combine the fractions in the parentheses:

23%2F41÷%282%2F410%29

Now 2%2F410 reduces to 1%2F205 and
we have

23%2F41÷1%2F205

now we invert the second fraction and 
change ÷ to ×

 23     205
---- × -----
 41      1

Cancel the 41 into the 205

         5      
 23     205
---- × -----
 41      1
  1

  23×5

  115

Edwin