Converting 30.8264 to a Fraction
Step-by-step explanation of how to convert 30.8264 to a fraction

Result

30.8264 =
38533
1250
Mixed number:
30
1033
1250

Step 1: Identify the number of decimal places

The decimal 30.8264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.8264 × 10000 = 308264

Step 3: Write as a fraction

30.8264 =

308264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 308264 and 10000.

GCD(308264, 10000) = 8

Divide both the numerator and denominator by the GCD:

308264
10000

=

308264 ÷ 8
10000 ÷ 8

=

38533
1250
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