can anyone show me in detail how to find the a in (60/a)/40/16=1/2?

Question

i need help with these kind of question.Thank you

Answer 1

(60/a)/40/16=1/2
Multiply both sides by 16
(60/a)/40 = (1/2)*16
(60/a)/40 = 8
Multiply both sides by 40
60/a = 8*40
60/a = 320
Multiply both sides by a
60 = 320a
Divide both sides by 320
60/320 = a
Simplify
3/16 = a

Answer 2

You need to take the a up. Then you'll see clearly what to do.

Say that your equation was (60/a)/(40/16)=1/2

Here it depends on where you place the parentheses, but for the sake of the process that you want illustrated, let's say it was like that.

Then you multiply (60*16)/(a*40)=1/2

Then you take the a to the other side, (60*16)*2=(a*40)*1

Then that would be 1920=40a

And then a= 1920/40, etc.

If it was ((60/a)/40)/16=1/2, the same thing goes

First resolve the parenth. (60/a)/(40/1), that is 60/40a -> 3/(2a)
Then (3/2a)/(16/1), that is 3/32a

3/32a=1/2
2*3=32a*1
6=32a
a=6/32
a=3/16

Remeber yourself some process like this, and later on the rules will become automatic for you.

Answer 3

Step 1: Multiply both sides by 16

(60/a)/40 = (1/2)x16 = 8

Step 2: Multiply both sides by 40

(60/a) = 8 x 40 = 320

Step 3: Multiply both sides by a

60 = 320a

Step 4: Divide both sides by 320

60/320 = a

Step 5: Cancel 60/320 = 30/160 = 3/16

a = 3/16

Answer 4

Multiply through by 16, to get (60/a)/40 = 8. Multiply through by 40 to get 60/a = 320. Multiply through by a to get 60 = 320 a. The last step is yours.

Answer 5

first multiply by 16 (to cancel the last division), getting
(60/a)/40 = 8

then multiply by 40, getting
60/a = 320

finally, multiply by a and divide by 320, getting
60/320 = a
3/16 = a

Answer 6

(60/a)/40/16=1/2
or, 60*(1/a)*(1/40)*(1/16)=1/2
or, 60*(1/a)=(1/2)*40*16
or, 60*(1/a)=320
or, a=60/320
or, a= 3/16

Answer 7

(60/a)/40/16=.5
(60/a)/40=8
60/a=320
60/320=a
3/16=a