Convert the Fraction: Simplifying 6/500 to Decimal Form

6500= ? \frac{6}{500}=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's convert the fraction to a decimal.
00:07 First, change the fraction so its bottom number is a multiple of ten.
00:12 Multiply both the top and bottom numbers by the same amount.
00:21 Then, write the top number out as a whole number.
00:25 Now, move the decimal point left, based on the bottom number.
00:30 If there are three zeros, move it three places to the left.
00:34 And that's how we find the solution!

Step-by-step written solution

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1

Understand the problem

6500= ? \frac{6}{500}=\text{ ?}

2

Step-by-step solution

Let's first multiply both the numerator and denominator by 2 to make the denominaor 1000:

6×2500×2=121000 \frac{6\times2}{500\times2}=\frac{12}{1000}

Now let's rewrite the simple fraction as a decimal:

12.0 12.0

Since the fraction divides by 1000, we'll move the decimal point three places to the left:

.0120 .0120

Finally we can add a zero before the decimal point to get our answer:

0.0120=0.012 0.0120=0.012

3

Final Answer

0.012

Practice Quiz

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Write the following fraction as a decimal:

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

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