Converting 35.748928 to a Fraction
Step-by-step explanation of how to convert 35.748928 to a fraction
Result
35.748928 =
558577
15625
Mixed number:
35
11702
15625
Step 1: Identify the number of decimal places
The decimal 35.748928 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
35.748928 × 1000000 = 35748928
Step 3: Write as a fraction
35.748928 =
35748928
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 35748928 and 1000000.
GCD(35748928, 1000000) = 64
Divide both the numerator and denominator by the GCD:
35748928
1000000
=
35748928 ÷ 64
1000000 ÷ 64
=
558577
15625
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