Converting 20.705 to a Fraction
Step-by-step explanation of how to convert 20.705 to a fraction

Result

20.705 =
4141
200
Mixed number:
20
141
200

Step 1: Identify the number of decimal places

The decimal 20.705 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

20.705 × 1000 = 20705

Step 3: Write as a fraction

20.705 =

20705
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 20705 and 1000.

GCD(20705, 1000) = 5

Divide both the numerator and denominator by the GCD:

20705
1000

=

20705 ÷ 5
1000 ÷ 5

=

4141
200
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