maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6. Enter a fraction that shows marias claim is incorrect. Choose an a: 6/35 b: 13/70 c: 9/35 d: 16/70

I want to make this clear, this is NOT MY ANSWER! Someone else has already answered this question on here I'm just pasting their answer here so you can get the full details on how it was solved.

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.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.