Converting 3.79815 to a Fraction
Step-by-step explanation of how to convert 3.79815 to a fraction

Result

3.79815 =
75963
20000
Mixed number:
3
15963
20000

Step 1: Identify the number of decimal places

The decimal 3.79815 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.79815 × 100000 = 379815

Step 3: Write as a fraction

3.79815 =

379815
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 379815 and 100000.

GCD(379815, 100000) = 5

Divide both the numerator and denominator by the GCD:

379815
100000

=

379815 ÷ 5
100000 ÷ 5

=

75963
20000
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