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Answers
Answer:
7) No both answer are not same
Yes Sum of both answer is a rational number
8)
-11/16,-10/16,-9/16------------------------7/16,8/16,9,16
Step-by-step explanation:
7). Subtract - 16/9 from - 4/3
(-4/3)-(-16/9)
=-4/3+16/9
Taking Lcm
=-12/9+16/9
=4/9. (1)
Subtract - 4/3 from - 16/9
(-16/9)-(-4/3)
=-16/9+4/3
Taking Lcm
=-16/9+12/9
=-4/9. (2)
They are not same
Add 1 and 2
=4/9+(-4/9)
=0
0 is rational
8). Rational number between
-3/4 and 5/8
Making same denominator
Multiply - 3/4 by 4/4. (4/4=1)
Multiply 5/8 by 2/2
Rational number between
-12/16 and 10/16
-11/16,-10/16,-9/16------------------------7/16,8/16,9,16
Step-by-step explanation:
1.
-16/9 from -4/3
/9 from -4/3-4/3-(-16/9). LCM:9
/9 from -4/3-4/3-(-16/9). LCM:9(-4/3)*3+(16/9)*1
/9 from -4/3-4/3-(-16/9). LCM:9(-4/3)*3+(16/9)*1-12/9+16/9
=4/9
-4/3 from -16/9
-16/9-(-4/3). LCM:9
(-16/9)*1+(4/3)*3
-16/9+12/9
=-4/9
therefore the answers are not same.
2. -3/4 and 5/8
LCM:8
(-3/4)*2 and (5/8)*1
-6/8 and 5/8
(-6/8)*30 and (5/8)*30
-180/240 and 150/240
twenty rational numbers between -3/4 and 5/8 are
151/240 , 152/240 , 153/240, 154/240, 155/240 , 156/240 , 157/240, 158/240 , 159/240 , 160/240 , 161/240 , 162/240 , 163/240 , 164/240 , 165/240 , 166/240 , 167/240 , 168/240 , 169/240 , 170/240.
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