A 12-inch ruler is divided into three parts. The largest part is three times as a long as the smallest. The middle-sized part is twice as long as the smallest. How long is the smallest part?

the smallest part is 2

Step-by-step explanation:

lets take x as the smallest part

then the largest part=3x

the middle sized part=2x

x+2x+3x=12

6x=12

x=12/6

x=2

therefore the smallest part is equal to 2

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this