Question

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

Answer 1

Explanation:

We know that 1/7 < 1/6 < 1/5

let's 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 .18

0.14 < 0.18 < 0.20

Now we can change that number to a fraction.

1/7 < 18/100 < 1/5---reduce to 1/7 < 9/50 < 1/5, this will be equivalent to
or 1/7 (50/50) < 9/50 ( 7/7) < 1/5 ( 70/70) because we need the same denominator for compare ...50/350 < 63/350 < 70/350
simplify 5/35 < 6.3/35 < 7/35....

One fraction that is between 1/5 and 1/7 that does not have a denominator of 6 is 6.3 /35. or round off to 6/35

Answer 2

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.