(13/6+11/8):85/6
To solve the expression \((\frac{13}{6} + \frac{11}{8}) : \frac{85}{6}\), we will follow these steps:
- First, calculate \(\frac{13}{6} + \frac{11}{8}\).
- Then, divide the result by \(\frac{85}{6}\).
Step 1: Calculate \(\frac{13}{6} + \frac{11}{8}\)
To add the fractions, we need a common denominator. The least common multiple (LCM) of 6 and 8 is 24.
Convert each fraction:
\[ \frac{13}{6} = \frac{13 \times 4}{6 \times 4} = \frac{52}{24} \]
\[ \frac{11}{8} = \frac{11 \times 3}{8 \times 3} = \frac{33}{24} \]
Now, add them together:
\[ \frac{52}{24} + \frac{33}{24} = \frac{52 + 33}{24} = \frac{85}{24} \]
Step 2: Divide by \(\frac{85}{6}\)
Now, we need to divide \(\frac{85}{24}\) by \(\frac{85}{6}\):
\[ \frac{85}{24} \div \frac{85}{6} = \frac{85}{24} \times \frac{6}{85} \]
The \(85\)s cancel each other out:
\[ = \frac{6}{24} = \frac{1}{4} \]
Final Result
Thus, the final result of \((\frac{13}{6} + \frac{11}{8}) : \frac{85}{6}\) is:
\[ \frac{1}{4} \]
