Converting 0.1661 to a Fraction
Step-by-step explanation of how to convert 0.1661 to a fraction

Result

0.1661 =
1661
10000

Step 1: Identify the number of decimal places

The decimal 0.1661 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1661 × 10000 = 1661

Step 3: Write as a fraction

0.1661 =

1661
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1661 and 10000.

GCD(1661, 10000) = 1

Divide both the numerator and denominator by the GCD:

1661
10000

=

1661 ÷ 1
10000 ÷ 1

=

1661
10000
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