What fraction is between #1/20 and 1/30#??

2 Answers
Feb 19, 2018

#1/25#

See below

Explanation:

There are a couple of ways to do this:

  • See that, if we talk about the size of the slices we make (looking at the denominator - a value of 2 means we're slicing a whole pizza into 2 pieces, a value of 20 means we take that same pizza and slice it in to 20 pieces, and a value of 30 means we're slicing it into 30 pieces), we can pick any denominator between 20 and 30. And so possible answers are:

#1/21, 1/22, 1/23, 1/24,...1/29#

  • See that we can also make the denominators equal:

#1/20(1), 1/30(1)=>1/20(3/3), 1/30(2/2)=>3/60, 2/60#

With 60 as a denominator, there is no room to make more fractions. But if we make the denominators even bigger, there will be:

#(3xx10)/(60xx10), (2xx10)/(60xx10)=>30/600,20/600#

Now there is room to make #21/600, 22/600, 23/600, 24/600,...29/600#

If we make the denominator even bigger, there will be even more opportunities to make more fractions between #1/20 and 1/30#