Converting 30.7664 to a Fraction
Step-by-step explanation of how to convert 30.7664 to a fraction
Result
30.7664 =
19229
625
Mixed number:
30
479
625
Step 1: Identify the number of decimal places
The decimal 30.7664 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.7664 × 10000 = 307664
Step 3: Write as a fraction
30.7664 =
307664
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 307664 and 10000.
GCD(307664, 10000) = 16
Divide both the numerator and denominator by the GCD:
307664
10000
=
307664 ÷ 16
10000 ÷ 16
=
19229
625
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