Converting 38.464 to a Fraction
Step-by-step explanation of how to convert 38.464 to a fraction
Result
38.464 =
4808
125
Mixed number:
38
58
125
Step 1: Identify the number of decimal places
The decimal 38.464 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
38.464 × 1000 = 38464
Step 3: Write as a fraction
38.464 =
38464
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 38464 and 1000.
GCD(38464, 1000) = 8
Divide both the numerator and denominator by the GCD:
38464
1000
=
38464 ÷ 8
1000 ÷ 8
=
4808
125
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