Converting 33.758464 to a Fraction
Step-by-step explanation of how to convert 33.758464 to a fraction
Result
33.758464 =
527476
15625
Mixed number:
33
11851
15625
Step 1: Identify the number of decimal places
The decimal 33.758464 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
33.758464 × 1000000 = 33758464
Step 3: Write as a fraction
33.758464 =
33758464
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 33758464 and 1000000.
GCD(33758464, 1000000) = 64
Divide both the numerator and denominator by the GCD:
33758464
1000000
=
33758464 ÷ 64
1000000 ÷ 64
=
527476
15625
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