three rational numbars between 3/5 and 2/3
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Answer:
multiply 2/3*3/5a and divide by 2. Now multiply the answer by 3/5 and divide by 2.
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To find: three rational numbers between 3/5 and 2/3.
Solution (step by step):
(step 1) Make them equivalent by finding L.C.M of the denominators.
L.C.M of 3 and 5 is 15.
(step 2) Make them equal.
3/5 × 3/3 = 9/15.
2/3 × 5/5 = 10/15
(step 3) Find in between the equals.
There is no number between 9/15 and 10/15, so we will multiply both the numbers with 4.
(step 4) Multiply the numbers.
9/15 × 4/4 = 36/60
10/15 × 4/4 = 40/60
(step 5) Again in between the equals.
in between 36/60 and 40/60 lies 37/60, 38/60 and 39/60.
Thus, three rational numbers between 3/5 and 2/3 are 37/60, 38/60 and 39/60.
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