https://file.aiquickdraw.com/mathbot/file/1730305270594bz9wilct.jpg

To write \( 0.35 \) as a fraction using equations, let’s go through the process in steps:

1. Set \( x = 0.35 \).
   
2. Multiply both sides by 10 to eliminate one decimal place:
   \[
   10x = 3.5
   \]

3. Multiply both sides by 10 again to eliminate all decimal places:
   \[
   100x = 35.5
   \]

4. Now, subtract the equation \( 10x = 3.5 \) from \( 100x = 35.5 \):
   \[
   100x - 10x = 35.5 - 3.5
   \]
   \[
   90x = 32
   \]

5. Solve for \( x \) by dividing both sides by 90:
   \[
   x = \frac{32}{90}
   \]

6. Simplify the fraction:
   \[
   x = \frac{16}{45}
   \]

So, \( 0.35 \) can be written as the fraction \( \frac{16}{45} \).

Would you like a deeper breakdown of any specific steps?

### Related Questions
1. How would you convert other repeating decimals into fractions?
2. What is the process for simplifying fractions?
3. How can you convert a fraction back into a decimal?
4. How do you solve similar problems involving repeating decimals?
5. What are common mistakes to avoid when converting decimals to fractions?

**Tip:** When converting a decimal to a fraction, multiplying by powers of 10 helps eliminate the decimal point.

Use equations to write 0.35 as a fraction.

Learn how to convert the decimal 0.35 into a fraction using algebraic equations. This tutorial covers concepts of multiplying equations and fraction simplification, ideal for students in Grades 6-8.

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