Converting 38.0224 to a Fraction
Step-by-step explanation of how to convert 38.0224 to a fraction
Result
38.0224 =
23764
625
Mixed number:
38
14
625
Step 1: Identify the number of decimal places
The decimal 38.0224 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.0224 × 10000 = 380224
Step 3: Write as a fraction
38.0224 =
380224
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 380224 and 10000.
GCD(380224, 10000) = 16
Divide both the numerator and denominator by the GCD:
380224
10000
=
380224 ÷ 16
10000 ÷ 16
=
23764
625
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