Middle School

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David and Rob each got the same-size pack of crackers. David ate [tex]\frac{3}{6}[/tex] of his crackers. Rob ate [tex]\frac{3}{4}[/tex] of his crackers.

Who ate more of his crackers? Compare the fractions using a symbol. Show your work.

Answer :

Answer: Rob ate more crackers.

Symbol answer: 6/12 < 9/12

Step-by-Step explanation:

Common knowledge: Anytime you have the same numerator, with a different denominator, the one with the bigger denominator is always smaller. For example, if had a pizza with 6 slices and a pizza with 4 slices, the one with 6 slices and smaller and the one with 4 slices and bigger. Even though 6>4 that mindset has to change when thinking about a problem like this.

Another explanation:

If you still don’t get it, simply find a common denominator, so we’ll choose 12. Take 3/6 and multiply that by 2/2 so you get 6/12 and then take 3/4 and multiply that by 3/3 on both the (numerator and denominator) and that equals 9/12.

So now you have the expression: 6/12<9/12.

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