Convert Mixed Number 5⅕ to a Decimal: Step-by-Step Solution

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

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Step-by-step video solution

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00:00 Convert to decimal fraction
00:03 Break down into whole number and fraction
00:06 We'll convert from fraction to decimal fraction, for this we want the denominator to be 10
00:27 Now let's convert to decimal fraction
00:30 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'll follow these steps:

  • Step 1: Identify the given mixed number: 515 5\frac{1}{5} .
  • Step 2: Convert the fractional part 15\frac{1}{5} into a decimal by performing the division 1÷51 \div 5.
  • Step 3: Add the resulting decimal to the integer part 5.

Now, let's work through each step:
Step 1: The problem gives us the mixed number 515 5\frac{1}{5} .
Step 2: To convert 15\frac{1}{5} to a decimal, calculate 1÷5=0.21 \div 5 = 0.2.
Step 3: Combine this decimal with the integer part: 5+0.2=5.25 + 0.2 = 5.2.

Therefore, the solution to the problem 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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