Converting 49.577664 to a Fraction
Step-by-step explanation of how to convert 49.577664 to a fraction
Result
49.577664 =
774651
15625
Mixed number:
49
9026
15625
Step 1: Identify the number of decimal places
The decimal 49.577664 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
49.577664 × 1000000 = 49577664
Step 3: Write as a fraction
49.577664 =
49577664
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49577664 and 1000000.
GCD(49577664, 1000000) = 64
Divide both the numerator and denominator by the GCD:
49577664
1000000
=
49577664 ÷ 64
1000000 ÷ 64
=
774651
15625
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