Converting 0.78228 to a Fraction
Step-by-step explanation of how to convert 0.78228 to a fraction

Result

0.78228 =
19557
25000

Step 1: Identify the number of decimal places

The decimal 0.78228 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.78228 × 100000 = 78228

Step 3: Write as a fraction

0.78228 =

78228
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 78228 and 100000.

GCD(78228, 100000) = 4

Divide both the numerator and denominator by the GCD:

78228
100000

=

78228 ÷ 4
100000 ÷ 4

=

19557
25000
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