Converting 3.78316 to a Fraction
Step-by-step explanation of how to convert 3.78316 to a fraction

Result

3.78316 =
94579
25000
Mixed number:
3
19579
25000

Step 1: Identify the number of decimal places

The decimal 3.78316 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.78316 × 100000 = 378316

Step 3: Write as a fraction

3.78316 =

378316
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 378316 and 100000.

GCD(378316, 100000) = 4

Divide both the numerator and denominator by the GCD:

378316
100000

=

378316 ÷ 4
100000 ÷ 4

=

94579
25000
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