Converting 30.7124 to a Fraction
Step-by-step explanation of how to convert 30.7124 to a fraction

Result

30.7124 =
76781
2500
Mixed number:
30
1781
2500

Step 1: Identify the number of decimal places

The decimal 30.7124 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.7124 × 10000 = 307124

Step 3: Write as a fraction

30.7124 =

307124
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 307124 and 10000.

GCD(307124, 10000) = 4

Divide both the numerator and denominator by the GCD:

307124
10000

=

307124 ÷ 4
10000 ÷ 4

=

76781
2500
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