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If 
(4a)/(b)=12, which of the following expressions is equivalent to 
a ?
Choose 1 answer:
(A) 
(48 )/(b)
(B) 
3b
(C) 
12 b
(D) 
48 b

If 4ab=12 \frac{4 a}{b}=12 , which of the following expressions is equivalent to a a ?\newlineChoose 11 answer:\newline(A) 48b \frac{48}{b} \newline(B) 3b 3 b \newline(C) 12b 12 b \newline(D) 48b 48 b

Full solution

Q. If 4ab=12 \frac{4 a}{b}=12 , which of the following expressions is equivalent to a a ?\newlineChoose 11 answer:\newline(A) 48b \frac{48}{b} \newline(B) 3b 3 b \newline(C) 12b 12 b \newline(D) 48b 48 b
  1. Isolate aa in the equation: We are given the equation 4ab=12\frac{4a}{b} = 12. To find an expression equivalent to aa, we need to isolate aa on one side of the equation.\newlineWe can do this by multiplying both sides of the equation by bb to cancel out the denominator on the left side.\newlineSo, 4abb=12b\frac{4a}{b} \cdot b = 12 \cdot b\newlineThis simplifies to 4a=12b4a = 12b
  2. Solve for a: Now, to solve for aa, we divide both sides of the equation by 44.4a4=12b4\frac{4a}{4} = \frac{12b}{4}This simplifies to a=3ba = 3b
  3. Compare with given options: We compare our result with the given options.\newlineThe expression equivalent to aa is 3b3b, which matches option (B)(B).

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