Converting 0.66784 to a Fraction
Step-by-step explanation of how to convert 0.66784 to a fraction

Result

0.66784 =
2087
3125

Step 1: Identify the number of decimal places

The decimal 0.66784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.66784 × 100000 = 66784

Step 3: Write as a fraction

0.66784 =

66784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 66784 and 100000.

GCD(66784, 100000) = 32

Divide both the numerator and denominator by the GCD:

66784
100000

=

66784 ÷ 32
100000 ÷ 32

=

2087
3125
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