Converting 0.89984 to a Fraction
Step-by-step explanation of how to convert 0.89984 to a fraction

Result

0.89984 =
2812
3125

Step 1: Identify the number of decimal places

The decimal 0.89984 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.89984 × 100000 = 89984

Step 3: Write as a fraction

0.89984 =

89984
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 89984 and 100000.

GCD(89984, 100000) = 32

Divide both the numerator and denominator by the GCD:

89984
100000

=

89984 ÷ 32
100000 ÷ 32

=

2812
3125
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