Converting 40.1176 to a Fraction
Step-by-step explanation of how to convert 40.1176 to a fraction
Result
40.1176 =
50147
1250
Mixed number:
40
147
1250
Step 1: Identify the number of decimal places
The decimal 40.1176 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.1176 × 10000 = 401176
Step 3: Write as a fraction
40.1176 =
401176
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 401176 and 10000.
GCD(401176, 10000) = 8
Divide both the numerator and denominator by the GCD:
401176
10000
=
401176 ÷ 8
10000 ÷ 8
=
50147
1250
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