# How do you write 0.4747... as a fraction?

How do you write 0.4747... as a fraction?
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alexandrebaud43
Let $x=0.474747\dots$
Then $100x=47.4747\dots$
$100x-x=47.4747\dots -0.4747\dots$
$99x=47$
$x=\frac{47}{99}$
That is $0.4747\dots =\frac{47}{99}$
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Jacob Homer
0.4747 as a fraction equals 4747/10000
Steps to convert 0.4747 into a fraction:
Write 0.4747 as $\frac{0.4747}{1}$
Multiply both the numerator and denominator by 10 for each digit after the decimal point:
$\frac{0.4747}{1}=\frac{0.4747×10000}{1×10000}=\frac{4747}{10000}$
As a side note the whole number-integral part is: empty
The decimal part is: $.4747=\frac{4747}{10000}$
Full simple fraction breakdown: 4747/10000
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The page also includes 2-3D graphical representations of 0.4747 as a fraction, the different types of fractions, and what type of fraction 0.4747 is when converted.
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alenahelenash
The below workout with step by step calculation shows how to find the equivalent fraction for decimal point number 0.4747 manually. Step 1Address the input parameters and observe what to be found: Input parameters and values: The decimal number $=0.4747$What to be found: Find the equivalent fraction for 0.4747 Step 2Write 0.4747 as a simple fraction0.4747/1 Step 3Find how many times 10 should be multiplied with both numerator and denominator:Since the decimal 0.4747 has 4 digits after the decimal point (.), multiply 10000 with both numerator and denominator of 0.4747/1. $\left(0.4747×10000\right)/\left(1×10000\right)=4747/10000$Step 4To simplify 4747/10000 to its lowest terms, find LCM (Least Common Multiple) for 4747 and 10000.1 is the LCM for 4747 and 10000 Step 5 As LCM is 1, the fraction 4747/10000 can't be simplified further. Hence, 0.4747 can be written as a fraction 4747/10000.
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