Converting 4.8192 to a Fraction
Step-by-step explanation of how to convert 4.8192 to a fraction

Result

4.8192 =
3012
625
Mixed number:
4
512
625

Step 1: Identify the number of decimal places

The decimal 4.8192 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.8192 × 10000 = 48192

Step 3: Write as a fraction

4.8192 =

48192
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 48192 and 10000.

GCD(48192, 10000) = 16

Divide both the numerator and denominator by the GCD:

48192
10000

=

48192 ÷ 16
10000 ÷ 16

=

3012
625
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