Converting 0.789258 to a Fraction
Step-by-step explanation of how to convert 0.789258 to a fraction

Result

0.789258 =
394629
500000

Step 1: Identify the number of decimal places

The decimal 0.789258 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.789258 × 1000000 = 789258

Step 3: Write as a fraction

0.789258 =

789258
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 789258 and 1000000.

GCD(789258, 1000000) = 2

Divide both the numerator and denominator by the GCD:

789258
1000000

=

789258 ÷ 2
1000000 ÷ 2

=

394629
500000
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