Converting 40.16 to a Fraction
Step-by-step explanation of how to convert 40.16 to a fraction
Result
40.16 =
1004
25
Mixed number:
40
4
25
Step 1: Identify the number of decimal places
The decimal 40.16 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
40.16 × 100 = 4016
Step 3: Write as a fraction
40.16 =
4016
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4016 and 100.
GCD(4016, 100) = 4
Divide both the numerator and denominator by the GCD:
4016
100
=
4016 ÷ 4
100 ÷ 4
=
1004
25
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