Converting 5.7856 to a Fraction
Step-by-step explanation of how to convert 5.7856 to a fraction
Result
5.7856 =
3616
625
Mixed number:
5
491
625
Step 1: Identify the number of decimal places
The decimal 5.7856 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
5.7856 × 10000 = 57856
Step 3: Write as a fraction
5.7856 =
57856
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 57856 and 10000.
GCD(57856, 10000) = 16
Divide both the numerator and denominator by the GCD:
57856
10000
=
57856 ÷ 16
10000 ÷ 16
=
3616
625
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