Converting 5.78695 to a Fraction
Step-by-step explanation of how to convert 5.78695 to a fraction

Result

5.78695 =
115739
20000
Mixed number:
5
15739
20000

Step 1: Identify the number of decimal places

The decimal 5.78695 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.78695 × 100000 = 578695

Step 3: Write as a fraction

5.78695 =

578695
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 578695 and 100000.

GCD(578695, 100000) = 5

Divide both the numerator and denominator by the GCD:

578695
100000

=

578695 ÷ 5
100000 ÷ 5

=

115739
20000
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