Convert Decimal 0.35 to Simplified Fraction Form

To solve this problem, we need to convert the decimal $0.35$ into a fraction and simplify it:

• Step 1: Convert the decimal to a fraction. The decimal $0.35$ means that 35 is in the hundredths place. Thus, we write it as $\frac{35}{100}$.
• Step 2: Simplify the fraction $\frac{35}{100}$ by finding the greatest common divisor (GCD) of 35 and 100. The factors of 35 are 1, 5, 7, 35, and the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The greatest common divisor is 5.
• Step 3: Divide both the numerator and the denominator by 5:
  $\frac{35}{100} = \frac{35 \div 5}{100 \div 5} = \frac{7}{20}$

Therefore, the simplified fraction of $0.35$ is $\frac{7}{20}$.