Maria claims that any fraction between 1/5 and 1/7 on a number line must have a denominator that is 6.Enter a fraction that shows Maria's claim is incorrect

Question

03-11-2017
Mathematics

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Maria claims that any fraction between 1/5 and 1/7 on a number line must have a denominator that is 6.Enter a fraction that shows Maria's claim is incorrect

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rgwoot rgwoot · Answer 1 · 2017-11-03T05:09:41+01:00

We know that 1/5 > 1/6 > 1/7
If we change the numbers to decimals we can see what decimals we can use that are between the number 1/5 and 1/7 .
1/5=.20
1/7≈.14

We can use any number between these two decimals to create a fraction. Let us use .16
.20>.16>.14

Now we can change that number to a fraction.
.16=16/100 which reduced to 4/25

Let's verify:
1/5 > 4/25 > 1/7 find LCM
35/175 > 28/175 > 25/175

One fraction that is between 1/5 and 1/7 that does not have a denominator of 6 is 4/25.