Simplify x plus 6 over 12 all over x minus 8 over 10?
[(x + 6) / 12] / [(x - 8) / 10] = [(x + 6) / 12] [10 / (x - 8)] = [10(x + 6)/ (12(x - 8)) ] = 5(x + 6) / (6(x - 8))
Simplify x squared minus 16 all over x squared minus 8 times x plus 16.?
The reason why nobody is answering you is that your verbal descriptions of these quantities are ambiguous. Use math notation with the correct nesting of parentheses. Consult the "Order of Operations" article in Wikipedia. As an example of my complaint about ambiguity, your Question 5 could mean [(2x+10)/(x^2+4)] (x-5) or it could mean (2x+10)/[(x^2+4)(x-5)] One could perhaps parse your verbal descriptions by trying to see which interpretation leads to any of the given answers, but it's much more important that you learn the right way to communicate in algebra.
How do you simplify 21 minus 14, divided by 7, plus 11, and minus 4?
If you are talking about this- (21–14)/7 + 11 - 4Then its answer is
Simplify (x + 6 / 12) / (x - 8 / 10)?
(x + 6 / 12) / (x - 8 / 10) = (x + 6 / 6) / (x - 8 / 5) = 5(x + 6) / 6(x - 8)
Simplify completely quantity x squared minus 100 over quantity x squared plus 2 x minus 120 divided quantity 6?
cannot understand your query....but x² - 100 = [ x - 10 ][ x + 10 ] and x² + 2 x - 120 = [ x - 10 ] [ x + 12 ] ; thus some cancellation likely is done
What is a fast method to simplify [math]1/20+1/40+1/60+1/80[/math] without using a calculator?
It’s 5/48. You don’t need the calculator to conclude so. Let us see the steps you have to follow in your mind.First take 1/10 common from all the fractions.Then make the denominator common for all. It can be done by knowing the LCM (Lowest Common Multiple) of 2,4,6 and 8. The LCM of 2,4,6 & 8 is 24.Rewrite the fractions in your mind with the new denominator.So, 1/2 becomes 12/24; 1/4 becomes 6/24; 1/6 becomes 4/24 and 1/8 becomes 3/24.Simply add the numerators as the denominator is same. The sum of all numerators is (12+6+4+3)= 25So, the sum is 25/24. But, we have parked 1/10 as common.Hence, when 1/10 is multiplied to 25/24.1/10 * 25/24 = 5/48Try it and you’ll find it easy and quicker than solving it using calculator.You can read many such tricks to mentally solve such questions at my Quora Blog- The Quants Blog. Here is link of my answers on Quantitative-Aptitude