SOLUTION: What is one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one hundred? pls dont use algebra

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: What is one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one hundred? pls dont use algebra       Log On


   

Question 53974: What is one-half of two-thirds of three-quarters of four-fifths of five-sixths of six-sevenths of seven-eights of eight-ninths of nine-tenths of one hundred?
pls dont use algebra to explain
Found 2 solutions by rchill, aaaaaaaa:
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is 1%2F2%2A2%2F3%2A3%2F4%2A4%2F5%2A5%2F6%2A6%2F7%2A7%2F8%2A8%2F9%2A9%2F10%2A100, which simplifies to 100%2F10, or 10.

Answer by aaaaaaaa(138) About Me  (Show Source):
You can put this solution on YOUR website!
"of", when using fractions, can be translated as "times".
So, as an example, two-fifths of 25 can be expressed as 2%2F5%2A25
When multiplying fractions, we multiply all the numerators and all the denominators (consider 100's denominator as 1). We can also simplify a numerator with a denominator (divide them both by the same amount) if we want. There's a specific rule that'll help us much, that is the fact that two equal numbers cancel out when simplifying.

%28100%2A1%2A2%2A3%2A4%2A5%2A6%2A7%2A8%2A9%29%2F%281%2A2%2A3%2A4%2A5%2A6%2A7%2A8%2A9%2A10%29

This would be a very complicated thing to do, if we couldn't simplify. Look at this: