Converting 1.966 to a Fraction
Step-by-step explanation of how to convert 1.966 to a fraction

Result

1.966 =
983
500
Mixed number:
1
483
500

Step 1: Identify the number of decimal places

The decimal 1.966 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.966 × 1000 = 1966

Step 3: Write as a fraction

1.966 =

1966
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1966 and 1000.

GCD(1966, 1000) = 2

Divide both the numerator and denominator by the GCD:

1966
1000

=

1966 ÷ 2
1000 ÷ 2

=

983
500
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