SOLUTION: Hi!I was wondering if you could please help me figure out this problem.My teacher assigned it to me but did very little explaining on how to do it.P.s-solving for c. 4/5 divided by

Question 1130342: Hi!I was wondering if you could please help me figure out this problem.My teacher assigned it to me but did very little explaining on how to do it.P.s-solving for c. 4/5 divided by c = 2/5.Thanks for the help
Found 5 solutions by math_helper, Theo, MathTherapy, greenestamps, ikleyn:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

One way to go�

Multiply both sides by c:

Multiply both sides by 5:

Divide both sides by 2:
<<< answer, c = 2

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
i think the problem is:

(4/5) / c = (2/5)

several ways to solve.

one way:

multiply both sides of the equation by c and divide both sides of the equation by (2/5) to get:

(4/5) / (2/5) = c

(4/5) / (2/5) is the same as (4/5) * (5/2), so the equaiton becomes:

(4/5) * (5/2) = c

simplify to get 20 / 10 = c

simplify further to get 2 = c.

another way to solve:

start with (4/5) / c = (2/5)

multiply both sides of the equation by 5 to get rid of the denominators in the fraction.

you get 5 * (4/5) / c = 5 * (2/5)

simplify to get 4 / c = 2

multiply both sides of the equation by c and divide both sides of the equation by 2 to get 4 / 2 = c.

simplify to get 2 = c.

still another way:

start with (4/5) / c = (2/5)

multiply both sides of the equation by c to get:

(4/5) = (2/5) * c

you can either multiply both sides of the equation to 5 to get 4 = 2 * c and solve for c to get c = 2, or you can divide both sides of the equation by (2/5) to get (4/5) / (2/5) = c, which results in c = 2 as well.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hi!I was wondering if you could please help me figure out this problem.My teacher assigned it to me but did very little explaining on how to do it.P.s-solving for c. 4/5 divided by c = 2/5.Thanks for the help

Just 1 CORRECT way to do this and that's using the SIMPLEST method.

10c = 4(5) ------- Cross-multiplying

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Sometimes you have to ignore the preachings of tutor @maththerapy. Obviously there is not only "1 CORRECT way" to solve this problem. And the convoluted method he uses to solve the problem is DEFINITELY NOT the SIMPLEST.

Tutor @theo provides several valid options, all of which are less work than what @maththerapy does.

The easiest way to work this problem is to recognize that 2/5 is just half of 4/5 (listen to the words, if you don't see it in the written fractions). Since 2/5 is half of 4/5, the 4/5 must have been divided by 2 to get the 2/5.

That method of solution admittedly won't be seen by most people. So the next best way to solve the problem, in my opinion, is to know that (a/c) divided by (b/c) is just a/b. So (4/5) divided by (2/5) is just 4/2 = 2.

It always works that way. In elementary school you are told that, to divide fractions, you "flip" the second fraction and multiply. When you do that with a problem like this, the denominators cancel:

This method is equivalent to one of the methods suggested by @theo: multiply both fractions by their common denominator, 5:

And you can always use the straightforward process taught in elementary school, without realizing there is a shortcut:

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

If I correctly understand your post, your task is to solve an equation = . Multiply both sides by "c". You will get an equivalent equation = . Multiply both sides by 5 to rid of the denominators. You will get 4 = 2*c. Last step is to divide both side by 2 to get the answer c = 2.

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