find three rational between 3/5 and 2/3
Answers
Answered by
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LCM OF 5 AND 3 IS 15
3/5 × 3/3 = 9/15
2/3 × 5/5 = 10/15
NOW , MULTIPLY BY 4 TO GET A GREATER DIFFERENCE AMONG THE TWO NEW NUMBERS
9×4/15×4 = 36/60
10×4/15×4 = 40/60
THREE RATIONAL NUMBERS BETWEEN 3/5 AND 2/3 ARE - 37/60, 38/60, 39/60
Answered by
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To find : three rational between and
Solution :
- To find rational numbers between two rational numbers we first check the values of denominator of both rational numbers .
- Here values of denominators are different.
- In case of different value of denominators we equate denominators by taking LCM or by cross multiplication of numerators and denominators of given rational numbers .
- Hence we find LCM of denominators
and
.
- LCM =
- Now, we multiply numerators by same number as multiplied by denominators to make LCM.
- Therefore, we get,
⇒
- As we can' t find three rational number between
we multiply the numerators and denominators by multiples of 10.
- Hence , we get
- Therefore, three rational number between
are
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