To convert 0.35 into a fraction, follow these steps:

### Step 1: Write the decimal as a fraction
The decimal 0.35 can be written as \( \frac{35}{100} \).

This is because the two digits 35 are in the hundredths place (two digits after the decimal point), so you place 35 over 100.

### Step 2: Simplify the fraction
Now, simplify \( \frac{35}{100} \) by finding the greatest common divisor (GCD) of 35 and 100.

- The factors of 35 are: 1, 5, 7, 35
- The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100

The GCD of 35 and 100 is 5.

### Step 3: Divide both numerator and denominator by their GCD
\[
\frac{35}{100} = \frac{35 \div 5}{100 \div 5} = \frac{7}{20}
\]

### Final Answer:
\[
0.35 = \frac{7}{20}
\]

Would you like more details on any of the steps?

Here are 8 related questions:

1. How do you convert 0.125 to a fraction?
2. What is the fraction form of 0.45?
3. How do you convert 0.07 to a fraction and simplify it?
4. How do you find the greatest common divisor (GCD) of two numbers?
5. How do you convert fractions to decimals?
6. What is the fraction equivalent of 0.5?
7. How do you multiply two fractions together?
8. How do you subtract two fractions with unlike denominators?

**Tip:** When converting decimals to fractions, always simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

Learn how to convert the decimal 0.35 into a fraction step-by-step with a detailed explanation. This problem covers decimal to fraction conversion and simplification techniques. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation