Converting 1.9662 to a Fraction
Step-by-step explanation of how to convert 1.9662 to a fraction

Result

1.9662 =
9831
5000
Mixed number:
1
4831
5000

Step 1: Identify the number of decimal places

The decimal 1.9662 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.9662 × 10000 = 19662

Step 3: Write as a fraction

1.9662 =

19662
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 19662 and 10000.

GCD(19662, 10000) = 2

Divide both the numerator and denominator by the GCD:

19662
10000

=

19662 ÷ 2
10000 ÷ 2

=

9831
5000
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