Converting 0.765078 to a Fraction
Step-by-step explanation of how to convert 0.765078 to a fraction

Result

0.765078 =
382539
500000

Step 1: Identify the number of decimal places

The decimal 0.765078 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.765078 × 1000000 = 765078

Step 3: Write as a fraction

0.765078 =

765078
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 765078 and 1000000.

GCD(765078, 1000000) = 2

Divide both the numerator and denominator by the GCD:

765078
1000000

=

765078 ÷ 2
1000000 ÷ 2

=

382539
500000
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