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Answers
Answer:
9. 5 rational no. between -5/7 and -3/8
to make both denominators same first find the LCM of 7 and 8
LCM = 56
-5/7 :- multiply 7 and -5 with 8
-5/7= -40/56
-3/8 :- multiply 8 and -5 with 7
-3/8= -21/56
rational no. between -40/56 and -21/56 are -22/56, -23/56, -24/56, -25/56 , -26/56 , -27/56 , -28/56 , -29/56 , and so on till -40/56.
10. 4 rational no. between -1/5 and -4/13
to make both denominators same first find the LCM of 5 and 13
LCM= 65
-1/5 :- multiply -1 and 5 with 13
-1/5 = -13/65
-14/13 :- multiply -4 and 13 with 5
-4/13 = -20/65
4 rational no. between -13/65 and -20/65 are -14/65, -15/65, -16/65, -17/65 and so on till -20/65
Step-by-step explanation:
9) -5/7 and -3/8
solve: the LCM of 7 and 8 is 56
-5/7*8/8= -40/56
-3/8*7/7 = -21/56
converting them in rational numbers
-40/56*6/6= -240/336
-21/56*6/6= -126/336
the five rational numbers are:
-241/336, -242/336 , -123/336 , -124/336 , 125/336
10) -1/5 and -4/13
solve: LCM of 5 and 13 is 65
-1/5*13/13= -13/65
-4/13*5/5= -20/65
converting them in the rational numbers
-13/65*5/5= -65/325
-20/65*5/5= -100/325
the five rational numbers are:
-66/325, -67/325 , -97/325 , -98/325 , -99/325
I hope this helps you