Question

A) Find two rational number between -1/3 and -1/5

B) What should be added to 7/12to get-4/15

please answer correctly
(explanation)

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Answer 1

Answer:

(A) Let's change 1/3 and 1/5 to fractions with the common denominator of 15.

We now have 5/15 and 3/15.

We only see one rational number between these two: 4/15.

Let's change the denominator to 30.

We now have 10/30 and 6/30.

Two rational numbers in this interval are 7/30 and 8/30.

8/30 is the same as 4/15.

Two rational numbers between 1/3 and 1/5 are 4/15 and 7/30.

(B) × should be added to 7/12 to get- 4/15

× + 7/12 = 4/15

× = 4/15- 7/12

Now LCM of 15 and 12 which is 60

×= 4/15 - 7/12

35-16\ 60

-19/60

Therefore 19/60 should be added to 7/12 to get 4/15

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