Converting 30.5748 to a Fraction
Step-by-step explanation of how to convert 30.5748 to a fraction

Result

30.5748 =
76437
2500
Mixed number:
30
1437
2500

Step 1: Identify the number of decimal places

The decimal 30.5748 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.5748 × 10000 = 305748

Step 3: Write as a fraction

30.5748 =

305748
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 305748 and 10000.

GCD(305748, 10000) = 4

Divide both the numerator and denominator by the GCD:

305748
10000

=

305748 ÷ 4
10000 ÷ 4

=

76437
2500
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