Converting 37.968 to a Fraction
Step-by-step explanation of how to convert 37.968 to a fraction
Result
37.968 =
4746
125
Mixed number:
37
121
125
Step 1: Identify the number of decimal places
The decimal 37.968 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
37.968 × 1000 = 37968
Step 3: Write as a fraction
37.968 =
37968
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37968 and 1000.
GCD(37968, 1000) = 8
Divide both the numerator and denominator by the GCD:
37968
1000
=
37968 ÷ 8
1000 ÷ 8
=
4746
125
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