Question

$\frac{3}{4} + \frac{1}{6} =$

• A. $\frac{11}{12}$
• B. $\frac{10}{12}$
• C. $\frac{7}{12}$
• D. $\frac{5}{12}$

Answer 1

Answer:

$\frac{11}{12}$

The answer is $\frac{11}{12}$.

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To add two fractions with different denominators, you need to find a common denominator.

1. Find the Least Common Multiple (LCM):

   • The denominators are 4 and 6.

   • The LCM of 4 and 6 is 12.

2. Convert the Fractions:

   • Multiply the top and bottom of $\frac{3}{4}$ by 3: $\frac{3 \times 3}{4 \times 3} = \mathbf{\frac{9}{12}}$

   • Multiply the top and bottom of $\frac{1}{6}$ by 2: $\frac{1 \times 2}{6 \times 2} = \mathbf{\frac{2}{12}}$

3. Add the Numerators:

   • $\frac{9}{12} + \frac{2}{12} = \frac{9 + 2}{12} = \mathbf{\frac{11}{12}}$

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Final Answer:
$\frac{11}{12}$ (or approximately 0.9167)