Converting 3.78416 to a Fraction
Step-by-step explanation of how to convert 3.78416 to a fraction

Result

3.78416 =
23651
6250
Mixed number:
3
4901
6250

Step 1: Identify the number of decimal places

The decimal 3.78416 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.78416 × 100000 = 378416

Step 3: Write as a fraction

3.78416 =

378416
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 378416 and 100000.

GCD(378416, 100000) = 16

Divide both the numerator and denominator by the GCD:

378416
100000

=

378416 ÷ 16
100000 ÷ 16

=

23651
6250
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