Converting 8.02 to a Fraction
Step-by-step explanation of how to convert 8.02 to a fraction

Result

8.02 =
401
50
Mixed number:
8
1
50

Step 1: Identify the number of decimal places

The decimal 8.02 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

8.02 × 100 = 802

Step 3: Write as a fraction

8.02 =

802
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 802 and 100.

GCD(802, 100) = 2

Divide both the numerator and denominator by the GCD:

802
100

=

802 ÷ 2
100 ÷ 2

=

401
50
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