Convert Mixed Number: Transforming 3 1/25 to Decimal

Question

3125= 3\frac{1}{25}=

Video Solution

Step-by-Step Solution

To convert the mixed number 31253\frac{1}{25} to a decimal, follow these steps:

  • Step 1: Identify the fraction part 125\frac{1}{25}.
  • Step 2: Convert 125\frac{1}{25} to an equivalent fraction with a denominator of 100, which involves multiplying both the numerator and the denominator by 4:
    • 125×44=4100\frac{1}{25} \times \frac{4}{4} = \frac{4}{100}.
  • Step 3: Convert the fraction 4100\frac{4}{100} to a decimal, which is 0.040.04.
  • Step 4: Add this decimal to the whole number 3 to get the final decimal:
    • 3 + 0.04 = 3.04

Thus, the mixed number 31253\frac{1}{25} converts to the decimal 3.043.04.

The correct answer is 3.043.04.

Answer

3.04 \text{3}.04