Converting 35.205824 to a Fraction
Step-by-step explanation of how to convert 35.205824 to a fraction
Result
35.205824 =
550091
15625
Mixed number:
35
3216
15625
Step 1: Identify the number of decimal places
The decimal 35.205824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
35.205824 × 1000000 = 35205824
Step 3: Write as a fraction
35.205824 =
35205824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 35205824 and 1000000.
GCD(35205824, 1000000) = 64
Divide both the numerator and denominator by the GCD:
35205824
1000000
=
35205824 ÷ 64
1000000 ÷ 64
=
550091
15625
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