Converting 5.836 to a Fraction
Step-by-step explanation of how to convert 5.836 to a fraction
Result
5.836 =
1459
250
Mixed number:
5
209
250
Step 1: Identify the number of decimal places
The decimal 5.836 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
5.836 × 1000 = 5836
Step 3: Write as a fraction
5.836 =
5836
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5836 and 1000.
GCD(5836, 1000) = 4
Divide both the numerator and denominator by the GCD:
5836
1000
=
5836 ÷ 4
1000 ÷ 4
=
1459
250
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