Questions: 3/5+5/6

3/5+5/6
Transcript text: \[ \frac{3}{5}+\frac{5}{6} \] Please enter only number, using a slash for fractions. Type your answer here.
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Solution

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Solution Steps

Step 1: Find the Common Denominator

To add the fractions \( \frac{3}{5} \) and \( \frac{5}{6} \), we first determine the least common multiple (LCM) of the denominators 5 and 6. The LCM is \( 30 \).

Step 2: Convert the Fractions

Next, we convert each fraction to have the common denominator of \( 30 \):

  • For \( \frac{3}{5} \): \[ \frac{3}{5} = \frac{3 \times 6}{5 \times 6} = \frac{18}{30} \]
  • For \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30} \]
Step 3: Add the Numerators

Now that both fractions have the same denominator, we can add them: \[ \frac{18}{30} + \frac{25}{30} = \frac{18 + 25}{30} = \frac{43}{30} \]

Final Answer

\(\boxed{\frac{43}{30}}\)

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