Converting 30.41768 to a Fraction
Step-by-step explanation of how to convert 30.41768 to a fraction

Result

30.41768 =
380221
12500
Mixed number:
30
5221
12500

Step 1: Identify the number of decimal places

The decimal 30.41768 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.41768 × 100000 = 3041768

Step 3: Write as a fraction

30.41768 =

3041768
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3041768 and 100000.

GCD(3041768, 100000) = 8

Divide both the numerator and denominator by the GCD:

3041768
100000

=

3041768 ÷ 8
100000 ÷ 8

=

380221
12500
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