Converting 21.785 to a Fraction
Step-by-step explanation of how to convert 21.785 to a fraction

Result

21.785 =
4357
200
Mixed number:
21
157
200

Step 1: Identify the number of decimal places

The decimal 21.785 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.785 × 1000 = 21785

Step 3: Write as a fraction

21.785 =

21785
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21785 and 1000.

GCD(21785, 1000) = 5

Divide both the numerator and denominator by the GCD:

21785
1000

=

21785 ÷ 5
1000 ÷ 5

=

4357
200
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