Converting 2.1705 to a Fraction
Step-by-step explanation of how to convert 2.1705 to a fraction

Result

2.1705 =
4341
2000
Mixed number:
2
341
2000

Step 1: Identify the number of decimal places

The decimal 2.1705 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.1705 × 10000 = 21705

Step 3: Write as a fraction

2.1705 =

21705
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21705 and 10000.

GCD(21705, 10000) = 5

Divide both the numerator and denominator by the GCD:

21705
10000

=

21705 ÷ 5
10000 ÷ 5

=

4341
2000
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