Converting 8.05 to a Fraction
Step-by-step explanation of how to convert 8.05 to a fraction
Result
8.05 =
161
20
Mixed number:
8
1
20
Step 1: Identify the number of decimal places
The decimal 8.05 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
8.05 × 100 = 805
Step 3: Write as a fraction
8.05 =
805
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 805 and 100.
GCD(805, 100) = 5
Divide both the numerator and denominator by the GCD:
805
100
=
805 ÷ 5
100 ÷ 5
=
161
20
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