Converting 40.85152 to a Fraction
Step-by-step explanation of how to convert 40.85152 to a fraction
Result
40.85152 =
127661
3125
Mixed number:
40
2661
3125
Step 1: Identify the number of decimal places
The decimal 40.85152 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.85152 × 100000 = 4085152
Step 3: Write as a fraction
40.85152 =
4085152
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4085152 and 100000.
GCD(4085152, 100000) = 32
Divide both the numerator and denominator by the GCD:
4085152
100000
=
4085152 ÷ 32
100000 ÷ 32
=
127661
3125
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