in these questions you have to oly give answer no. 6; 8; 12.
please gave my answer I will Mark it as brainliest and follow him also.,............
Answers
Answer:
6) The other number = 2/21
8) a) -2/3 × (4/7 + 2/9) = -100/-189
b) 3/6 × [(-9/11) + -5/22)] = -23/44
12) 23/42 should be added.
Step-by-step explanation:
6) The sum of 2 rational numbers = -4/7
One number = -2/3
Let 'x' be the other number
-2/3 + x = -4/7
x = -4/7 + 2/3
x = -4×3/7×3 + 2×7/3×7
x = -12/21 + 14/21
x = 2/21
The other number = 2/21
Check⇒
-2/3 + x = -4/7
x = 2/21
-2/3 + 2/21 = -4/7
-2×7/3×7 + 2×1/21×1 = -4/7
-14/21 + 2/21 = -4/7
-12/21 = -4/7 (-12/21 cancelled by 3 is -4/7)
-4/7 = -4/7
L.H.S = R.H.S
Hence, verified.
The answer is correct.
8) a) -2/3 × (4/7 + 2/9)
By Distributive property:
a×(b+c) = (a×b) + (a×c)
-2/3 × (4/7 + 2/9) = (-2/3 × 4/7) + (-2/3 × 2/9)
= -8/21 + (-4/27)
= -8/21 - 4/27
= -8×9/21×9 - 4×7/27×7
= -72/189 - 28/189
= -100/-189
Check⇒
-2/3 × (4/7 + 2/9)
= -2/3 × [4×9/7×9 + 2×7/9×7]
= -2/3 × [36/63 + 14/63
= -2/3 × 50/63
= -100/189
Hence, verified.
The answer is correct.
b) 3/6 × [(-9/11) + -5/22)]
By Distributive property:
a×(b+c) = (a×b) + (a×c)
3/6 × [(-9/11) + (-5/22)] = (3/6×-9/11) + (3/6×-5/22)
= -9/22 + (-15/132)
= -9/22 - 15/132
= -9×6/22×6 - 15×1/132×1
= -54/132 - 15/132
= -69/132
= -23/44
Check⇒
3/6 × [(-9/11) + -5/22)]
= 3/6 × [-9/11 - 5/22]
= 3/6 × [-18/22 - 5/22]
= 3/6 × -23/22
= -69/132
= -23/44
Hence, verified.
The answer is correct.
12) Let the number be'x'
x + (-3/14) = 6/18
x - 3/14 = 6/18
x = 6/18 + 3/14
x = 6×7/18×7 + 3×9/14×9
x = 42/126 + 27/126
x = 69/126
x = 23/42