Converting 3.7856 to a Fraction
Step-by-step explanation of how to convert 3.7856 to a fraction
Result
3.7856 =
2366
625
Mixed number:
3
491
625
Step 1: Identify the number of decimal places
The decimal 3.7856 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.7856 × 10000 = 37856
Step 3: Write as a fraction
3.7856 =
37856
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37856 and 10000.
GCD(37856, 10000) = 16
Divide both the numerator and denominator by the GCD:
37856
10000
=
37856 ÷ 16
10000 ÷ 16
=
2366
625
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