How do you find the product of (10n^2)/4*2/n?
2 Answers
Dec 22, 2016
Explanation:
Dec 22, 2016
Explanation:
There are 2 approaches here. We could
color(blue)"simplify" the fractions and then multiply what remains or we can multiply the fractions and thencolor(blue)"simplify"
color(red)"Simplify and multiply" To simplify we
color(blue)"cancel" common factors between the numerators/denominators.
Here we can cancel 10 and 4 by 2 or 4 and 2 by 2.n^2 and n have a common factor of n.
rArr(cancel(10)^5 xxnxxcancel(n)^1)/cancel(4)^2xx2/cancel(n)^1
=(5nxx2)/2=(5nxxcancel(2)^1)/cancel(2)^1=5n
color(red)"multiply and simplify"
(10n^2)/4xx2/n=(10n^2xx2)/(4n)=(20n^2)/(4n) now simplify by cancelling.
=(cancel(20)^5xxnxxcancel(n)^1)/(cancel(4)^1cancel(n)^1)=5n