Convert Mixed Number 3 19/50 to Decimal

Question

31950= 3\frac{19}{50}=

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the fraction to have 100 as the denominator.
  • Step 2: Convert the new fraction to a decimal.
  • Step 3: Combine the decimal with the whole number part.

Now, let's work through each step:

Step 1: We start with the fraction 1950\frac{19}{50}. To find an equivalent fraction with a denominator of 100, we multiply both the numerator and the denominator by the same number. Since 50×2=10050 \times 2 = 100, we also multiply 19 by 2 to keep the fraction equivalent:
19×250×2=38100\frac{19 \times 2}{50 \times 2} = \frac{38}{100}.

Step 2: The fraction 38100\frac{38}{100} can be directly written as a decimal 0.38.

Step 3: Add this decimal to the whole number part (3) to get the final decimal number:
3+0.38=3.383 + 0.38 = 3.38.

Therefore, the solution to the problem is 3.383.38.

Answer

3.38 3.38