Converting 3.975 to a Fraction
Step-by-step explanation of how to convert 3.975 to a fraction
Result
3.975 =
159
40
Mixed number:
3
39
40
Step 1: Identify the number of decimal places
The decimal 3.975 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
3.975 × 1000 = 3975
Step 3: Write as a fraction
3.975 =
3975
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3975 and 1000.
GCD(3975, 1000) = 25
Divide both the numerator and denominator by the GCD:
3975
1000
=
3975 ÷ 25
1000 ÷ 25
=
159
40
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