Convert Decimal 3.08: Finding Alternative Number Representations

Question

3.08= 3.08=

Video Solution

Step-by-Step Solution

To solve the problem of converting 3.08 3.08 to a mixed fraction, follow these steps:

  • Step 1: Identify the whole number
    The given decimal 3.08 3.08 has a whole number part, which is 3 3 .
  • Step 2: Convert the decimal part to a fraction
    The decimal part is 0.08 0.08 . To convert 0.08 0.08 to a fraction, recognize that it represents 8100\frac{8}{100}, as 8 is in the hundredths place.
  • Step 3: Simplify the fraction
    Simplify 8100\frac{8}{100} by finding the greatest common divisor of 8 and 100, which is 4. Divide both the numerator and the denominator by 4: 8÷4100÷4=225\frac{8 \div 4}{100 \div 4} = \frac{2}{25}.
  • Step 4: Combine the whole number with the fraction
    Thus, 3.08 3.08 can be expressed as 3225 3 \frac{2}{25} .

The correct answer is therefore 3225 3\frac{2}{25} .

Answer

3225 3\frac{2}{25}