Converting 30.765984 to a Fraction
Step-by-step explanation of how to convert 30.765984 to a fraction

Result

30.765984 =
961437
31250
Mixed number:
30
23937
31250

Step 1: Identify the number of decimal places

The decimal 30.765984 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

30.765984 × 1000000 = 30765984

Step 3: Write as a fraction

30.765984 =

30765984
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30765984 and 1000000.

GCD(30765984, 1000000) = 32

Divide both the numerator and denominator by the GCD:

30765984
1000000

=

30765984 ÷ 32
1000000 ÷ 32

=

961437
31250
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