Converting 0.089576 to a Fraction
Step-by-step explanation of how to convert 0.089576 to a fraction

Result

0.089576 =
11197
125000

Step 1: Identify the number of decimal places

The decimal 0.089576 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.089576 × 1000000 = 89576

Step 3: Write as a fraction

0.089576 =

89576
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 89576 and 1000000.

GCD(89576, 1000000) = 8

Divide both the numerator and denominator by the GCD:

89576
1000000

=

89576 ÷ 8
1000000 ÷ 8

=

11197
125000
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