Convert Decimal to Fraction: Finding the Fraction Equal to 0.07

Question

Convert 0.07 into a fraction.

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the decimal place value.
  • Step 2: Write the decimal as a fraction based on the place value.
  • Step 3: Check if the fraction can be simplified.

Now, let's work through each step:
Step 1: The given decimal is 0.07. The digit 7 is in the hundredths place, which indicates that the denominator should be 100.
Step 2: We write 0.07 as a fraction: 7100\frac{7}{100}.
Step 3: Check for simplification. The fraction 7100\frac{7}{100} is already in its simplest form since 7 is a prime number and cannot be divided further by 100.

Thus, the fraction form of 0.07 is 7100\frac{7}{100}.

Considering the multiple-choice options:

  • Choice 1: 710\frac{7}{10} - Incorrect, as this corresponds to the decimal 0.7.
  • Choice 2: 71000\frac{7}{1000} - Incorrect, as this corresponds to the decimal 0.007.
  • Choice 3: 7100\frac{7}{100} - Correct, as this matches the calculation we performed.
  • Choice 4: 70100\frac{70}{100} - Incorrect, as this can be simplified to 710\frac{7}{10}.

Therefore, the correct answer is 7100\frac{7}{100}, corresponding to choice 3.

Answer

7100 \frac{7}{100}