Converting 30.6908 to a Fraction
Step-by-step explanation of how to convert 30.6908 to a fraction

Result

30.6908 =
76727
2500
Mixed number:
30
1727
2500

Step 1: Identify the number of decimal places

The decimal 30.6908 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.6908 × 10000 = 306908

Step 3: Write as a fraction

30.6908 =

306908
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 306908 and 10000.

GCD(306908, 10000) = 4

Divide both the numerator and denominator by the GCD:

306908
10000

=

306908 ÷ 4
10000 ÷ 4

=

76727
2500
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