Write another fraction that is equivalent to4/5 . Draw diagrams to show that they are equal. Then find
the equivalent decimals for both fractions and write the equivalent percent.

To find another fraction equivalent to \( \frac{4}{5} \), we can multiply both the numerator (top number) and the denominator (bottom number) by the same number. For example, if we multiply both by 2, we get:

\[
\frac{4 \times 2}{5 \times 2} = \frac{8}{10}
\]

So, \( \frac{8}{10} \) is equivalent to \( \frac{4}{5} \).

### Diagrams to Show Equivalence

Let's draw two diagrams:

1. **For \( \frac{4}{5} \)**: 
   - Imagine a rectangle divided into 5 equal parts. Shade 4 of those parts to represent \( \frac{4}{5} \).

2. **For \( \frac{8}{10} \)**:
   - Now imagine a rectangle divided into 10 equal parts. Shade 8 of those parts to represent \( \frac{8}{10} \).

These two shaded areas will be the same, showing that \( \frac{4}{5} \) is equal to \( \frac{8}{10} \).

### Equivalent Decimals

To convert the fractions into decimals:

- For \( \frac{4}{5} \):
  
  \[
  \frac{4}{5} = 0.8
  \]

- For \( \frac{8}{10} \):
  
  \[
  \frac{8}{10} = 0.8
  \]

Both fractions have the decimal equivalent of 0.8.

### Equivalent Percent

To convert the decimal to a percent, multiply by 100:

\[
0.8 \times 100 = 80\%
\]

So, both fractions \( \frac{4}{5} \) and \( \frac{8}{10} \) are equivalent to 80%.

Would you like more details on any part of this process or have any other questions?

### Related Questions:
1. How do you simplify fractions?
2. What are some other fractions equivalent to \( \frac{4}{5} \)?
3. How do you convert a fraction to a decimal manually?
4. What is the method to convert a repeating decimal to a fraction?
5. Can a fraction have more than one equivalent decimal?

**Tip:** Remember, multiplying or dividing both the numerator and denominator by the same number does not change the value of the fraction. This is a helpful trick for finding equivalent fractions.

Explore how to find another fraction equivalent to 4/5, including drawing diagrams to show their equality and converting them into decimals and percentages. Discover the mathematical process step-by-step.

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