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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