what does this question mean?
"insert a one fraction in between"
q 1-1/2 and 4/5
I don't know what you mean by "A one fraction", nor what the q is doing there, nor whether your 1-1/2 is supposed to be 1/2 or 1 1/2.
There are an infinite number of fractions that are in between any two fractions.
If you are trying to divide the interval from 1/2 and 4/5 into equal quartiles, the dividing fractions would be:
end point 10/20 (1/2); q1 = 23/40; q2 = 13/20; q3 = 29/40, and end point 16/20(4/5)
The question is asking you to fill in a missing fraction between the two given fractions: 1-1/2 and 4/5. To do this, you need to find a fraction that fits between these two fractions on the number line.
To compare fractions, it's helpful to have a common denominator. In this case, we can find a common denominator by multiplying the denominators of the two fractions together: 2 and 5. The least common multiple of 2 and 5 is 10, so we'll use 10 as the common denominator.
Now let's convert the fractions 1-1/2 and 4/5 to have a denominator of 10:
1-1/2 = (2/2) - (1/2) = 2/2 - 1/2 = 1/2
4/5 = (4/5) * (2/2) = 8/10
Now we have 1/2 and 8/10. We can see that 1/2 is smaller than 8/10. Since we are trying to find a fraction in between, it should be larger than 1/2 but smaller than 8/10. One way to determine the fraction in between is to find the average of these two fractions.
To find the average, we add the two fractions and divide the sum by 2:
1/2 + 8/10 = 5/10 + 8/10 = 13/10
Now, simplify the fraction if possible:
13/10 = 1 and 3/10
So the fraction you would insert between 1-1/2 and 4/5 is 1 and 3/10 or 1.3.