Is 6/4 greater or less than 1/2

Question

fractions made easy

Answer 1

If the numerator of a fraction is greater than the denominator, the fraction is improper and equal to more than 1.

6/4 is more than 1. 1/2 is less than 1. 6/4 is greater than 1/2.

Answer 2

Dear Michael,

    Let me show you an example like you gave:    1/3   and   14/12.    First of all,  14/12= 12/12 + 2/12= 1 + 2/12; 

 

Now, 1/3 is not a whole, but only part of a whole, so   14/12 is greater than 1/3. 

 

 

Work your problem in the same way.

 

6/4=  4/4 +2/4= 1 + 2/4= 1 +1/2= 1 1/2           The other fraction is 1/2.  Which is bigger? 

 

Also, look at this way.    6/4 is like having 1 and 1/2 oranges.   The other is only equal to 1/2 orange. 

 

 

     Another way to work this problem is to change everything to the same denominator (bottom number) and then

 

compare the top numbers (numerators).  Let's go back to the example I gave you:  1/3 and 14/12.  Use the higher

 

denominator of 12 since 3 is a factor of 12.     With 1/3 you want to change the denominator to 12.  What do you

 

multiply the denominator of 3 in order to get 12?  Yes, multiply the denominator by 4 and its numerator by 4. 

 

(1*4)/(3*4)   = 4/12  Now you can compare it to 14/12 .     Which is bigger?    4/12 or 14/12

 

Remember that you can also make models or drawings of each fraction to compare them.

 

**If I have helped you, please give me a thumbs up.  If you have further questions, just make a comment.

 

                                                                        Susan C.

Answer 3

6/4 is greater than 1/2.  

To verify, change 6/4 or 1/2 to common denominators (6/4 = 3/2, 1/2 = 2/4) then compare the numerators: 6>2, 3>1).

You can also change the fractions to decimals and compare.  6/4=1.5, 1/2=0.5.  1.5>0.5.