Converting 1.3666 to a Fraction
Step-by-step explanation of how to convert 1.3666 to a fraction

Result

1.3666 =
6833
5000
Mixed number:
1
1833
5000

Step 1: Identify the number of decimal places

The decimal 1.3666 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.3666 × 10000 = 13666

Step 3: Write as a fraction

1.3666 =

13666
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13666 and 10000.

GCD(13666, 10000) = 2

Divide both the numerator and denominator by the GCD:

13666
10000

=

13666 ÷ 2
10000 ÷ 2

=

6833
5000
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