Converting 0.085784 to a Fraction
Step-by-step explanation of how to convert 0.085784 to a fraction

Result

0.085784 =
10723
125000

Step 1: Identify the number of decimal places

The decimal 0.085784 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.085784 × 1000000 = 85784

Step 3: Write as a fraction

0.085784 =

85784
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 85784 and 1000000.

GCD(85784, 1000000) = 8

Divide both the numerator and denominator by the GCD:

85784
1000000

=

85784 ÷ 8
1000000 ÷ 8

=

10723
125000
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