$$ \frac45 $$$$ +\frac{7}{10}-\frac12 $$$$ = $$

Let's solve the expression step by step:

Given:
\[ \frac{4}{5} + \frac{7}{10} - \frac{1}{2} \]

First, find a common denominator for the fractions $\frac{4}{5}$, $\frac{7}{10}$, and $\frac{1}{2}$. The least common multiple (LCM) of 5, 10, and 2 is 10.

Convert each fraction to have a denominator of 10:

\[ \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \]
\[ \frac{7}{10} = \frac{7}{10} \]  (already in terms of 10)
\[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \]

Now the expression is:
\[ \frac{8}{10} + \frac{7}{10} - \frac{5}{10} \]

Combine the fractions:
\[ \frac{8 + 7 - 5}{10} = \frac{10}{10} \]

Simplify $\frac{10}{10}$:
\[ \frac{10}{10} = 1 \]

So, the final answer is:
\[ 1 \]

Would you like more details or have any questions about this solution?

Here are 8 related questions to expand on this topic:

1. How do you find the least common multiple (LCM) of several numbers?
2. What is the process for converting fractions to have a common denominator?
3. How do you simplify a fraction?
4. What are some strategies for adding and subtracting fractions with different denominators?
5. How do you convert improper fractions to mixed numbers?
6. What are some applications of fraction addition and subtraction in real life?
7. How can you verify the correctness of your fraction calculations?
8. What are some common mistakes to avoid when working with fractions?

**Tip:** When adding or subtracting fractions, always ensure you find the correct common denominator and convert each fraction accurately to avoid mistakes.

Learn how to solve the expression involving fractions: 4/5 + 7/10 - 1/2. Detailed step-by-step solution with explanations on finding a common denominator, converting fractions, and simplifying the result to 1. Suitable for students in Grades 4-6.

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