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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