Let's solve the sum:

$\frac{1}{10} + \frac{85}{100}$

Step 1: Convert to a common denominator.

• The denominator of the first fraction is 10, and the denominator of the second fraction is 100.
• To get a common denominator, we can rewrite $\frac{1}{10}$ as $\frac{10}{100}$ because $10 \times 10 = 100$.

Now we have:

$\frac{10}{100} + \frac{85}{100}$

Step 2: Add the fractions.

Since the denominators are now the same, we can simply add the numerators:

$\frac{10 + 85}{100} = \frac{95}{100}$

Step 3: Simplify the result.

$\frac{95}{100}$ can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5:

$\frac{95 \div 5}{100 \div 5} = \frac{19}{20}$

So, the final result is:

$\frac{19}{20}$

Answer:

$\frac{1}{10} + \frac{85}{100} = \frac{19}{20}$

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Would you like more details or have any questions? Here are 5 related questions to explore further:

1. How do you add fractions with different denominators?
2. What is the process for simplifying fractions?
3. How can you convert a fraction to a decimal?
4. How do you convert a decimal back to a fraction?
5. What is the relationship between a fraction, decimal, and percentage?

Tip: To add fractions, make sure to find a common denominator first!