Converting 5.8575 to a Fraction
Step-by-step explanation of how to convert 5.8575 to a fraction
Result
5.8575 =
2343
400
Mixed number:
5
343
400
Step 1: Identify the number of decimal places
The decimal 5.8575 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
5.8575 × 10000 = 58575
Step 3: Write as a fraction
5.8575 =
58575
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 58575 and 10000.
GCD(58575, 10000) = 25
Divide both the numerator and denominator by the GCD:
58575
10000
=
58575 ÷ 25
10000 ÷ 25
=
2343
400
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