which of the follwing is between 1/2 and 1/3?

Question

2/5

1/4

2/7

or 3/11

 

Answer 1

Hi Julie, there are two ways to find the answer to this question.

 

Method 1:

 

Change all the fractions to decimals and compare them.

 

Example:

 

1/2 = .5, 1/3 = .333

 

Test:

 

1/4 = .25, fails because it is not between .333 and .5

 

Test the other three in the same manner.

 

Method 2:

 

Find the common denominator of 1/2 and 1/3 plus one of the four choices.

 

Example:

 

Find the common denominator for 1/2, 1/3, and 2/7.

 

The common denominator is 42, since 2, 3, and 7 are prime numbers you multiply the three together.

 

Then:

 

1/2 = 21/42, 1/3 = 14/42, and 2/7 = 12/42.

 

12/42 is not between 21/42 and 14/42.

 

Do the same process for the others in the list until you find the one that is between 1/2 and 1/3.

 

Questions?