Converting 40.4 to a Fraction
Step-by-step explanation of how to convert 40.4 to a fraction
Result
40.4 =
202
5
Mixed number:
40
2
5
Step 1: Identify the number of decimal places
The decimal 40.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
40.4 × 10 = 404
Step 3: Write as a fraction
40.4 =
404
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 404 and 10.
GCD(404, 10) = 2
Divide both the numerator and denominator by the GCD:
404
10
=
404 ÷ 2
10 ÷ 2
=
202
5
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