Let's solve the expression step by step:

\[
2 \left( \frac{1}{15} \right) + 1 \left( \frac{9}{10} \right)
\]

1. Multiply \(2\) by \(\frac{1}{15}\):
\[
2 \times \frac{1}{15} = \frac{2}{15}
\]

2. Multiply \(1\) by \(\frac{9}{10}\) (which remains \(\frac{9}{10}\)):
\[
1 \times \frac{9}{10} = \frac{9}{10}
\]

Now, add the two fractions:
\[
\frac{2}{15} + \frac{9}{10}
\]

To add these, find a common denominator. The least common denominator of 15 and 10 is 30.

3. Convert both fractions to have a denominator of 30:
\[
\frac{2}{15} = \frac{4}{30}, \quad \frac{9}{10} = \frac{27}{30}
\]

4. Add the fractions:
\[
\frac{4}{30} + \frac{27}{30} = \frac{31}{30}
\]

So, the final result is:
\[
\frac{31}{30}
\]

This can also be written as a mixed number:
\[
1 \frac{1}{30}
\]

Would you like further details or have any questions?

Here are 5 questions related to this:

1. How do you find the least common denominator (LCD) of two fractions?
2. How can you convert an improper fraction to a mixed number?
3. What are the properties of fractions when multiplying whole numbers by fractions?
4. How can you simplify fractions before adding them?
5. What are common mistakes when adding fractions?

**Tip:** When adding fractions, always ensure both fractions have a common denominator before performing the addition.

Discover how to solve the expression 2(1/15) + 1(9/10) by multiplying whole numbers by fractions and adding fractions with different denominators. This step-by-step guide will help students in Grades 6-8 master the concepts of finding the least common denominator and performing fraction operations.

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