Converting 38.968 to a Fraction
Step-by-step explanation of how to convert 38.968 to a fraction
Result
38.968 =
4871
125
Mixed number:
38
121
125
Step 1: Identify the number of decimal places
The decimal 38.968 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
38.968 × 1000 = 38968
Step 3: Write as a fraction
38.968 =
38968
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 38968 and 1000.
GCD(38968, 1000) = 8
Divide both the numerator and denominator by the GCD:
38968
1000
=
38968 ÷ 8
1000 ÷ 8
=
4871
125
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