Simplify the Fraction: Converting 12/200 to Its Simplest Form

12200= ? \frac{12}{200}=\text{ ?}

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Step-by-step video solution

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00:00 Convert to decimal fraction
00:03 Convert the fraction so the denominator is a multiple of 10
00:06 Make sure to divide both numerator and denominator
00:15 Write the numerator as a number
00:18 Now according to the denominator move the decimal point left
00:21 There are 2 zeros in the denominator, so move 2 times left
00:27 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

12200= ? \frac{12}{200}=\text{ ?}

2

Step-by-step solution

Let's divide both the numerator and denominator by 2 to get 100 in the denominator:

12:2200:2=6100 \frac{12:2}{200:2}=\frac{6}{100}

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

6.0 6.0

Since the fraction is divisible by 100, we move the decimal point two places to the left:

.060 .060

Now let's add the zero before the decimal point to get:

0.060=0.06 0.060=0.06

3

Final Answer

0.06

Practice Quiz

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Write the following fraction as a decimal:

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

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