Converting 5.835 to a Fraction
Step-by-step explanation of how to convert 5.835 to a fraction
Result
5.835 =
1167
200
Mixed number:
5
167
200
Step 1: Identify the number of decimal places
The decimal 5.835 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
5.835 × 1000 = 5835
Step 3: Write as a fraction
5.835 =
5835
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5835 and 1000.
GCD(5835, 1000) = 5
Divide both the numerator and denominator by the GCD:
5835
1000
=
5835 ÷ 5
1000 ÷ 5
=
1167
200
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