Converting 35.789464 to a Fraction
Step-by-step explanation of how to convert 35.789464 to a fraction

Result

35.789464 =
4473683
125000
Mixed number:
35
98683
125000

Step 1: Identify the number of decimal places

The decimal 35.789464 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

35.789464 × 1000000 = 35789464

Step 3: Write as a fraction

35.789464 =

35789464
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35789464 and 1000000.

GCD(35789464, 1000000) = 8

Divide both the numerator and denominator by the GCD:

35789464
1000000

=

35789464 ÷ 8
1000000 ÷ 8

=

4473683
125000
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