Convert Mixed Number to Decimal: Solving 5⅕

515= 5\frac{1}{5}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert to decimal fraction
00:03 Break down to whole number and fraction
00:06 We want to convert fraction to decimal fraction, so we'll change the denominator to 10
00:09 Make sure to multiply both numerator and denominator
00:17 Convert fraction to decimal fraction
00:24 Add
00:37 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

515= 5\frac{1}{5}=

2

Step-by-step solution

To solve this problem, we need to convert the mixed number 515 5\frac{1}{5} into a decimal form.

Here are the steps we'll follow:

  • Step 1: Convert the fractional part 15\frac{1}{5} to a decimal.
  • Step 2: Add the converted decimal to the whole number part.

Let's work through these steps:
Step 1: Convert 15\frac{1}{5} into a decimal:
To do this, divide the numerator (1) by the denominator (5). So, 15=0.2 \frac{1}{5} = 0.2 .

Step 2: Add the decimal result to the whole number:
Now that we have converted the fraction to 0.2, we can add this to the integer part:
5+0.2=5.2 5 + 0.2 = 5.2 .

Therefore, the decimal equivalent of the mixed number 515 5\frac{1}{5} is 5.2 5.2 .

3

Final Answer

5.2 5.2

Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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