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(2.5 dr^(2))/(6)+(3dr^(2))/(4) Which expression is equivalent to the sum? Choose 1 answer: (A) (7dr^(2))/(6) (B) (7dr^(2))/(12) (C) (5.5 dr^(2))/(10) (D) (5.5 dr^(2))/(12)

2.5dr26+3dr24 \frac{2.5 d r^{2}}{6}+\frac{3 d r^{2}}{4} \newlineWhich expression is equivalent to the sum?\newlineChoose 11 answer:\newline(A) 7dr26 \frac{7 d r^{2}}{6} \newline(B) 7dr212 \frac{7 d r^{2}}{12} \newline(C) 5.5dr210 \frac{5.5 d r^{2}}{10} \newline(D) 5.5dr212 \frac{5.5 d r^{2}}{12}

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Q. 2.5dr26+3dr24 \frac{2.5 d r^{2}}{6}+\frac{3 d r^{2}}{4} \newlineWhich expression is equivalent to the sum?\newlineChoose 11 answer:\newline(A) 7dr26 \frac{7 d r^{2}}{6} \newline(B) 7dr212 \frac{7 d r^{2}}{12} \newline(C) 5.5dr210 \frac{5.5 d r^{2}}{10} \newline(D) 5.5dr212 \frac{5.5 d r^{2}}{12}
  1. Find Common Denominator: First, let's add the two fractions together. We need a common denominator to do that, so let's find it.\newlineThe common denominator for 66 and 44 is 1212.
  2. Convert Fractions to Common Denominator: Now, let's convert each fraction to have the common denominator of 1212. (2.5dr2)/6(2.5 dr^2)/6 becomes (5dr2)/12(5 dr^2)/12 when we multiply the numerator and denominator by 22. (3dr2)/4(3 dr^2)/4 becomes (9dr2)/12(9 dr^2)/12 when we multiply the numerator and denominator by 33.
  3. Add Fractions: Next, we add the two fractions together. (5dr212)+(9dr212)=(14dr212)(\frac{5 dr^2}{12}) + (\frac{9 dr^2}{12}) = (\frac{14 dr^2}{12}).
  4. Simplify Result: We can simplify (14dr2)/12(14 dr^2)/12 by dividing both the numerator and the denominator by 22.(14dr2)/12(14 dr^2)/12 divided by 2/22/2 is (7dr2)/6(7 dr^2)/6.

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