Convert Mixed Number to Decimal: 10⅕ Solution

Question

$10\frac{1}{5}=$

00:00 Convert to decimal fraction

00:03 Break down into whole number and fraction

00:08 Convert from whole number to proper fraction

00:19 Add with common denominator

00:23 Change the fraction so denominator is 10

00:26 Make sure to multiply both numerator and denominator

00:34 Convert from fraction to decimal fraction

00:40 And this is the solution to the question

Let's solve the problem step-by-step:

Step 1: Identify the mixed number.
The number given is $10\frac{1}{5}$ , which means 10 plus the fraction $\frac{1}{5}$ .
Step 2: Convert the fraction to a decimal.
The fraction $\frac{1}{5}$ can be converted to a decimal by understanding or recognizing that $\frac{1}{5}$ is equivalent to 0.2. This is because dividing 1 by 5 gives us 0.2.
Step 3: Combine the whole number and decimal.
Add the decimal obtained from the fraction to the whole number: $10 + 0.2 = 10.2$ .

Thus, the mixed number $10\frac{1}{5}$ is converted to the decimal $10.2$ .

$10.2$