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

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.