Converting 0.689 to a Fraction
Step-by-step explanation of how to convert 0.689 to a fraction

Result

0.689 =
689
1000

Step 1: Identify the number of decimal places

The decimal 0.689 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.689 × 1000 = 689

Step 3: Write as a fraction

0.689 =

689
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 689 and 1000.

GCD(689, 1000) = 1

Divide both the numerator and denominator by the GCD:

689
1000

=

689 ÷ 1
1000 ÷ 1

=

689
1000
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