Converting 0.8084 to a Fraction
Step-by-step explanation of how to convert 0.8084 to a fraction

Result

0.8084 =
2021
2500

Step 1: Identify the number of decimal places

The decimal 0.8084 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8084 × 10000 = 8084

Step 3: Write as a fraction

0.8084 =

8084
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8084 and 10000.

GCD(8084, 10000) = 4

Divide both the numerator and denominator by the GCD:

8084
10000

=

8084 ÷ 4
10000 ÷ 4

=

2021
2500
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