Converting 4.05 to a Fraction
Step-by-step explanation of how to convert 4.05 to a fraction
Result
4.05 =
81
20
Mixed number:
4
1
20
Step 1: Identify the number of decimal places
The decimal 4.05 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
4.05 × 100 = 405
Step 3: Write as a fraction
4.05 =
405
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 405 and 100.
GCD(405, 100) = 5
Divide both the numerator and denominator by the GCD:
405
100
=
405 ÷ 5
100 ÷ 5
=
81
20
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