Converting 0.807225 to a Fraction
Step-by-step explanation of how to convert 0.807225 to a fraction

Result

0.807225 =
32289
40000

Step 1: Identify the number of decimal places

The decimal 0.807225 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.807225 × 1000000 = 807225

Step 3: Write as a fraction

0.807225 =

807225
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 807225 and 1000000.

GCD(807225, 1000000) = 25

Divide both the numerator and denominator by the GCD:

807225
1000000

=

807225 ÷ 25
1000000 ÷ 25

=

32289
40000
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