Converting 89.836 to a Fraction
Step-by-step explanation of how to convert 89.836 to a fraction
Result
89.836 =
22459
250
Mixed number:
89
209
250
Step 1: Identify the number of decimal places
The decimal 89.836 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
89.836 × 1000 = 89836
Step 3: Write as a fraction
89.836 =
89836
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 89836 and 1000.
GCD(89836, 1000) = 4
Divide both the numerator and denominator by the GCD:
89836
1000
=
89836 ÷ 4
1000 ÷ 4
=
22459
250
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