Convert Mixed Number: Simplifying 6 3/50 to Decimal Form

Question

6350= 6\frac{3}{50}=

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the fraction part 350 \frac{3}{50} to an equivalent fraction with a denominator of 100.
  • Step 2: Express this fraction as a decimal.
  • Step 3: Add this decimal to the whole number 6 to get the final result.

Let's work through each step:

Step 1: Convert 350 \frac{3}{50} to an equivalent fraction with a denominator of 100.

Since 350 \frac{3}{50} , we multiply both the numerator and the denominator by 2 to make the denominator 100:

350×22=6100 \frac{3}{50} \times \frac{2}{2} = \frac{6}{100} .

Step 2: Express that fraction as a decimal.

The fraction 6100 \frac{6}{100} can be directly written as 0.06 0.06 because a denominator of 100 corresponds to "hundredths."

Step 3: Combine the decimal with the whole number.

The original mixed number 6350 6\frac{3}{50} now becomes:

6+0.06=6.06 6 + 0.06 = 6.06 .

Therefore, the solution to the problem is 6.06 6.06 .

Answer

6.06 6.06