Converting 30.5376 to a Fraction
Step-by-step explanation of how to convert 30.5376 to a fraction
Result
30.5376 =
19086
625
Mixed number:
30
336
625
Step 1: Identify the number of decimal places
The decimal 30.5376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.5376 × 10000 = 305376
Step 3: Write as a fraction
30.5376 =
305376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 305376 and 10000.
GCD(305376, 10000) = 16
Divide both the numerator and denominator by the GCD:
305376
10000
=
305376 ÷ 16
10000 ÷ 16
=
19086
625
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