Converting 1.9845 to a Fraction
Step-by-step explanation of how to convert 1.9845 to a fraction

Result

1.9845 =
3969
2000
Mixed number:
1
1969
2000

Step 1: Identify the number of decimal places

The decimal 1.9845 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.9845 × 10000 = 19845

Step 3: Write as a fraction

1.9845 =

19845
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 19845 and 10000.

GCD(19845, 10000) = 5

Divide both the numerator and denominator by the GCD:

19845
10000

=

19845 ÷ 5
10000 ÷ 5

=

3969
2000
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