Converting 3.79545 to a Fraction
Step-by-step explanation of how to convert 3.79545 to a fraction

Result

3.79545 =
75909
20000
Mixed number:
3
15909
20000

Step 1: Identify the number of decimal places

The decimal 3.79545 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.79545 × 100000 = 379545

Step 3: Write as a fraction

3.79545 =

379545
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 379545 and 100000.

GCD(379545, 100000) = 5

Divide both the numerator and denominator by the GCD:

379545
100000

=

379545 ÷ 5
100000 ÷ 5

=

75909
20000
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