There are three ratios 1/4:1/3:1/5 now to convert them into simplified ratio format i see every term needs to be multiplied with lcm 60. I know multiplying with 60 will get rid of the fractional part . I know that (1/4)*60 ; (1/3)*60 ; (1/5)*60 like this it is happening but i can't satisfy my brain how it is being applied or the logic behind this process other than to get rid of fractional part!
ANALOGY: When i see the above step i feel like 60 rupees was divided among 3 persons in the according ratio . Now i am finding the actual money in rs of each share.
ANALOGY 2:Like we do lcm of addition
suppose 1/4 + 1/3 +1/5 first we convert all the num and denom prorportionately to new values with denom being 60 1/4=15/60;1/3=20/60;1/5=12/60;then add them ; the sum divided by only one 60. We do the step 1/4=15/60 as the fraction have to kept same (equivalent).i find a logic in this process.
There is another method of lcm in addition suggested by my friend which i was not aware of: every term needs to be multiplied with lcm 60. (1/4)*60+(1/3)*60+(1/5)*60 similar to the ratio operation ; then 15+20+12 by 60.
@Dr.Peterson @JeffM
ANALOGY: When i see the above step i feel like 60 rupees was divided among 3 persons in the according ratio . Now i am finding the actual money in rs of each share.
ANALOGY 2:Like we do lcm of addition
suppose 1/4 + 1/3 +1/5 first we convert all the num and denom prorportionately to new values with denom being 60 1/4=15/60;1/3=20/60;1/5=12/60;then add them ; the sum divided by only one 60. We do the step 1/4=15/60 as the fraction have to kept same (equivalent).i find a logic in this process.
There is another method of lcm in addition suggested by my friend which i was not aware of: every term needs to be multiplied with lcm 60. (1/4)*60+(1/3)*60+(1/5)*60 similar to the ratio operation ; then 15+20+12 by 60.
@Dr.Peterson @JeffM