Questions: 4/6 + 3/4 =

4/6 + 3/4 =
Transcript text: $\frac{4}{6}+\frac{3}{4}=$
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Solution

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Solution Steps

Step 1: Finding the Fractions

We start with the fractions \( \frac{4}{6} \) and \( \frac{3}{4} \).

Step 2: Simplifying the Fractions

The fraction \( \frac{4}{6} \) can be simplified to \( \frac{2}{3} \).

Step 3: Finding the Common Denominator

The least common denominator (LCD) of \( 3 \) and \( 4 \) is \( 12 \).

Step 4: Converting the Fractions

We convert the fractions to have the common denominator:

  • \( \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \)
  • \( \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \)
Step 5: Adding the Fractions

Now we add the two fractions: \[ \frac{8}{12} + \frac{9}{12} = \frac{8 + 9}{12} = \frac{17}{12} \]

Final Answer

The final result of the addition is \\(\boxed{\frac{17}{12}}\\).

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