However, if you do it EXACTLY the way you've written it without brackets on a calculator (19/12÷43/5×5)
You get 0.03682170543
The reason for this is because, without the parenthesis you are dividing 19 by the solution to 12 divided by 43/25 then dividing. In order to get the desired result of 19/12 divided by 43/5 times 5, you need to put the fractions in brackets so it doesn't try to divide the denominators by the numerator of the next fraction first.
If you wanna do it by hand, you flip the second fraction and replace the division sign with a multiplication sign... so 19/12÷43/5 becomes 19/12×5/43. Then you multiply the numerator by the numerator and the denominator by the denominator. Once you get the answer to that, which should be 95/516, you multiply the numerator (95) by 5. Your solution, in fraction format should be 475/516. After this, if you can reduce, do so.
How to check your answer: Plug in the equation in a calculator as I did at the top of this answer and see if it matches 475/516 on a calculator. If they match, you've done it correctly.
Answers & Comments
Verified answer
Find the Least common denominator.
It's 60.
19x5=95, so (95/60)
43x12=516, so (516/60)
(95/60)/(516/60)=95/516
(95/516)5
Final Answer = 475/516
if you write it as (19/12)÷(43/5)×5
the solution is 0.9205426356
However, if you do it EXACTLY the way you've written it without brackets on a calculator (19/12÷43/5×5)
You get 0.03682170543
The reason for this is because, without the parenthesis you are dividing 19 by the solution to 12 divided by 43/25 then dividing. In order to get the desired result of 19/12 divided by 43/5 times 5, you need to put the fractions in brackets so it doesn't try to divide the denominators by the numerator of the next fraction first.
If you wanna do it by hand, you flip the second fraction and replace the division sign with a multiplication sign... so 19/12÷43/5 becomes 19/12×5/43. Then you multiply the numerator by the numerator and the denominator by the denominator. Once you get the answer to that, which should be 95/516, you multiply the numerator (95) by 5. Your solution, in fraction format should be 475/516. After this, if you can reduce, do so.
How to check your answer: Plug in the equation in a calculator as I did at the top of this answer and see if it matches 475/516 on a calculator. If they match, you've done it correctly.
This equation can easily be solved with Systems of Operation.
(19/12)÷(43/5)×5
First, divide (19/12) by (43/5).
(95/516)×5
Then, multiply (95/516) by 5.
Answer: 475/516
what you've written down doesn't make factual sense...you need to introduce brackets so that someone can solve it