Converting 0.821465 to a Fraction
Step-by-step explanation of how to convert 0.821465 to a fraction

Result

0.821465 =
164293
200000

Step 1: Identify the number of decimal places

The decimal 0.821465 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.821465 × 1000000 = 821465

Step 3: Write as a fraction

0.821465 =

821465
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 821465 and 1000000.

GCD(821465, 1000000) = 5

Divide both the numerator and denominator by the GCD:

821465
1000000

=

821465 ÷ 5
1000000 ÷ 5

=

164293
200000
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