Converting 0.35789 to a Fraction
Step-by-step explanation of how to convert 0.35789 to a fraction

Result

0.35789 =
35789
100000

Step 1: Identify the number of decimal places

The decimal 0.35789 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.35789 × 100000 = 35789

Step 3: Write as a fraction

0.35789 =

35789
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35789 and 100000.

GCD(35789, 100000) = 1

Divide both the numerator and denominator by the GCD:

35789
100000

=

35789 ÷ 1
100000 ÷ 1

=

35789
100000
Related Conversions
Other decimal to fraction conversions you might find useful