I can't understand why in my math book 385/165 = 5x7x11/3x5x11
And it doesn't even explain WHY 385/165 was reduced to 5x7x11/3x5x11
Can anyone explain in detail why??
2006-09-27 17:04:09 · 3 answers · asked by J.Welkin 1 in Science & Mathematics ➔ Mathematics
The reaon is for reducing the form into p/q
to site as example 1/2 = 2/4 = 6/12 but in reduced form it is 1/2
when we want to reduce p/q we have to find prime factors of p and that of q(there are other methods) and remove the common factor so that p and q do not have a common factor
in this case 385 = 5* 7 * 11
165 = 3*5* 11
so 385 / 165 = (5*7*11)/(3*5*11) = 7/3 removing 5 and 11 from both
another method is to divide by HCF
HCF(385,165) = HCF(385 MOD 165,165)
= HCF(55. 165) = 55
385 = 55* 7
165= 55* 3
so same result (55*7)/(55*3) or 7/3
2006-09-27 17:11:44 · answer #1 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
385 factors are 5,7,11 that is 5*7*11=385
165 factors are 5,7,11 that is 5*3*11=385
it was reduced so because common factors that is 5,11 cancel out i mean
5*7*11/5*3*11 =7/3
thus reducing the calculation
2006-09-28 00:09:52 · answer #2 · answered by qwerty 1 · 0⤊ 0⤋
It reduced it to its smallest factors. (primes) 5,7,11 are all prime.
2006-09-28 00:08:56 · answer #3 · answered by James 1 · 0⤊ 0⤋