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Write step-by-step expanation for 5th grade student

To solve the problem of finding the difference between the two fractions \( \frac{7}{10} \) and \( \frac{1}{2} \), let's break it down step by step:

### Step 1: Understand the Fractions
- The fraction on the left is \( \frac{7}{10} \). This means 7 parts are shaded out of a total of 10 equal parts.
- The fraction on the right is \( \frac{1}{2} \). This means 1 part is shaded out of a total of 2 equal parts.

### Step 2: Find a Common Denominator
To subtract fractions, they need to have the same denominator. The denominators are 10 and 2. We need to find the **Least Common Denominator (LCD)**, which is the smallest number both 10 and 2 can divide into evenly.

The **LCD of 10 and 2 is 10**. So, we'll convert both fractions to have a denominator of 10.

### Step 3: Convert the Fractions
- The fraction \( \frac{7}{10} \) already has a denominator of 10, so it stays the same: \( \frac{7}{10} \).
- The fraction \( \frac{1}{2} \) needs to be converted. To do this, we multiply both the numerator and the denominator by 5 (because \( 2 \times 5 = 10 \)):

\[
\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}
\]

### Step 4: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract the numerators:

\[
\frac{7}{10} - \frac{5}{10} = \frac{7 - 5}{10} = \frac{2}{10}
\]

### Step 5: Simplify the Fraction
The fraction \( \frac{2}{10} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

\[
\frac{2}{10} = \frac{2 \div 2}{10 \div 2} = \frac{1}{5}
\]

### Final Answer:
The difference between the two fractions is \( \frac{1}{5} \).

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Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. What is the Least Common Denominator (LCD) of \( \frac{3}{5} \) and \( \frac{4}{7} \)?
2. How do you convert \( \frac{3}{4} \) to have a denominator of 16?
3. What is the result of subtracting \( \frac{5}{8} \) from \( \frac{7}{8} \)?
4. How do you know when a fraction is in its simplest form?
5. Can you add \( \frac{1}{3} \) and \( \frac{1}{4} \)? What is the sum?

**Tip**: Always check if your fractions can be simplified after adding or subtracting by finding the greatest common divisor!

What is the difference between these two fractions, expressed in lowest terms?

Learn how to find the difference between the fractions 7/10 and 1/2 with a detailed step-by-step explanation. This lesson covers finding a common denominator, converting fractions, subtracting fractions, and simplifying the result. Suitable for Grade 5 students.

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