A tailor used 2 ¾ meters of cloth for a pair of pants and ⁹/¹⁰ for meters for short.How many pair of cloth did wered.
what is asked?
what are the given?
how to solve?
solve/answer:
The question is asking for the number of pairs of pants and shorts that were made.
The given information is that 2 ¾ meters of cloth were used for a pair of pants and ⁹/¹⁰ of a meter of cloth was used for a pair of shorts.
To solve this problem, we need to determine how many pairs of pants and shorts were made. We can do this by finding the least common multiple (LCM) of the two amounts of cloth used.
To find the LCM, we convert the 2 ¾ meters into an improper fraction: 2 ¾ = 11/4
Then, we find the LCM of 11/4 and ⁹/¹⁰:
LCM = (11/4) * (⁹/¹⁰) / GCF(4,10)
LCM = (99/40) / 2
LCM = 99/80
So, the LCM of 2 ¾ meters and ⁹/¹⁰ of a meter is 99/80.
This means that for each pair of pants and shorts made, a total of 99/80 of a meter of cloth was used. To find the number of pairs, we divide the total amount of cloth used by 99/80.
Let's say the total amount of cloth used is X meters.
99/80 * X = 1 pair of cloth
So, X = 80/99
Therefore, for each pair of cloth made, approximately 80/99 meters of cloth were used.
Please note that the final answer may be an approximation, as it depends on the actual total amount of cloth used.