Converting 3.6816 to a Fraction
Step-by-step explanation of how to convert 3.6816 to a fraction

Result

3.6816 =
2301
625
Mixed number:
3
426
625

Step 1: Identify the number of decimal places

The decimal 3.6816 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.6816 × 10000 = 36816

Step 3: Write as a fraction

3.6816 =

36816
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36816 and 10000.

GCD(36816, 10000) = 16

Divide both the numerator and denominator by the GCD:

36816
10000

=

36816 ÷ 16
10000 ÷ 16

=

2301
625
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