Converting 0.489375 to a Fraction
Step-by-step explanation of how to convert 0.489375 to a fraction
Result
0.489375 =
783
1600
Step 1: Identify the number of decimal places
The decimal 0.489375 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.489375 × 1000000 = 489375
Step 3: Write as a fraction
0.489375 =
489375
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 489375 and 1000000.
GCD(489375, 1000000) = 625
Divide both the numerator and denominator by the GCD:
489375
1000000
=
489375 ÷ 625
1000000 ÷ 625
=
783
1600
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