Converting 30.70952 to a Fraction
Step-by-step explanation of how to convert 30.70952 to a fraction

Result

30.70952 =
383869
12500
Mixed number:
30
8869
12500

Step 1: Identify the number of decimal places

The decimal 30.70952 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.70952 × 100000 = 3070952

Step 3: Write as a fraction

30.70952 =

3070952
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3070952 and 100000.

GCD(3070952, 100000) = 8

Divide both the numerator and denominator by the GCD:

3070952
100000

=

3070952 ÷ 8
100000 ÷ 8

=

383869
12500
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