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

Question

alexandrebaud43 · Accepted Answer

Let x=0.474747…  Then 100x=47.4747…  100x−x=47.4747…−0.4747…  99x=47  x=4799  That is 0.4747…=4799

Jacob Homer · Accepted Answer

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 \times 10000}{1 \times 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
Scroll down to customize the precision point enabling 0.4747 to be broken down to a specific number of digits.
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.

alenahelenash · Accepted Answer

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 =0.4747What 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. (0.4747×10000)/(1×10000)=4747/10000Step 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&#039;t be simplified further. Hence, 0.4747 can be written as a fraction 4747/10000.

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

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