Convert Mixed Number: Simplifying 2 1/50 to Decimal Form

Question

2150= 2\frac{1}{50}=

Video Solution

Step-by-Step Solution

To convert the mixed number 2150 2\frac{1}{50} to a decimal, we follow these steps:

  • Step 1: Convert the fraction 150\frac{1}{50} to have a denominator of 100. We do this by multiplying both the numerator and the denominator by 2:
  • 1×250×2=2100\frac{1 \times 2}{50 \times 2} = \frac{2}{100}
  • Step 2: Convert 2100\frac{2}{100} to a decimal. Since 2100=0.02\frac{2}{100} = 0.02, the fractional part becomes 0.02.
  • Step 3: Combine the integer part with the decimal fraction. The integer part is 2. Therefore, we add 0.02 to 2:
  • 2+0.02=2.022 + 0.02 = 2.02

Thus, the solution to the problem is 2.02 \text{2}.02 .

Answer

2.02 \text{2}.02