which of the rational numbers 3/5 and 5/7 is greater. insert three rational numbers between 3/5 and 5/7 so that all the five numbers are in ascending order of their values.
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Answer:
5/7 is greater
Step-by-step explanation:
when solving this question always take the LCM of the given denominator which are 5 and 7. LCM=35
multiply the numerator and denominator of (3/5 by 7) &( 5/7 by 5).
= 21/35 and 25/35
Therefore, 5/7 is greater
Now, to insert 3 rational numbers
Follow these steps-
1/2 x (3/5 + 5/7)
=1/2 x (21+25/35)
=1/2 x 46/35
=23/35
Therefore, now we found the first rational number which is 23/35
3/5 < 23/35 < 5/7
Continue the next step by
3/5 < 1/2 x (3/5 + 23/35) < 23/35 < 1/2 x (23/35 + 5/7) < 5/7
Ans- 3/5 < 22/35 < 23 /35 < 24/35 <5/7
Hope this helps.
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