Converting 30.5772 to a Fraction
Step-by-step explanation of how to convert 30.5772 to a fraction

Result

30.5772 =
76443
2500
Mixed number:
30
1443
2500

Step 1: Identify the number of decimal places

The decimal 30.5772 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.5772 × 10000 = 305772

Step 3: Write as a fraction

30.5772 =

305772
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 305772 and 10000.

GCD(305772, 10000) = 4

Divide both the numerator and denominator by the GCD:

305772
10000

=

305772 ÷ 4
10000 ÷ 4

=

76443
2500
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