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

Question

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

00:03 First, let's convert the number into a decimal fraction.

00:07 Break the number down into its whole number and fraction parts.

00:11 Aim to make the denominator a multiple of ten. Got that?

00:15 Now, multiply both the numerator and the denominator by the right number.

00:24 Great, it's time to write it as a decimal fraction.

00:35 Next, add them up carefully.

00:51 And that’s how we solve the problem. Well done!

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

Step 1: Convert the fraction $\frac{1}{50}$ to have a denominator of 100. We do this by multiplying both the numerator and the denominator by 2:

\frac{1 \times 2}{50 \times 2} = \frac{2}{100}

Step 2: Convert $\frac{2}{100}$ to a decimal. Since $\frac{2}{100} = 0.02$ , 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 = 2.02

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

$\text{2}.02$