Converting 40.42 to a Fraction
Step-by-step explanation of how to convert 40.42 to a fraction
Result
40.42 =
2021
50
Mixed number:
40
21
50
Step 1: Identify the number of decimal places
The decimal 40.42 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
40.42 × 100 = 4042
Step 3: Write as a fraction
40.42 =
4042
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4042 and 100.
GCD(4042, 100) = 2
Divide both the numerator and denominator by the GCD:
4042
100
=
4042 ÷ 2
100 ÷ 2
=
2021
50
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