fraction question about usage of equal length of ribbon

Question

please help me on below question

 

tina and julie had the ribbon of same length. tina cut the ribbon into halves and used one piece out of it. julie cut the ribbion into thirds and used one out of it. who used more ribbon

Answer 1

The original two ribbons were the same length.

 

Picture taking a stick and breaking it into 2 equal pieces..

Each piece is half the length of the original

 

If you break a stick of the same length into 3 equal pieces

each piece is 1/3 the original length

 

Logic says the stick broken into two equal pieces will

have longer pieces than the one broken into 3 pieces

 

Without doing any actual math we can see that Tina used

more ribbon than Julie because the piece she used is

bigger than the piece Julie used.

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We want to know if 1/2 Ribbon is bigger or smaller than 1/3 Ribbon

 

Take the two fractions and get a common denominator

 

1/2 = 3/6

1/3 = 2/6

 

3/6 > 2/6

so 1/2 is larger than 1/3 and thus, Tina used more ribbon.