Converting 20.9456 to a Fraction
Step-by-step explanation of how to convert 20.9456 to a fraction

Result

20.9456 =
13091
625
Mixed number:
20
591
625

Step 1: Identify the number of decimal places

The decimal 20.9456 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.9456 × 10000 = 209456

Step 3: Write as a fraction

20.9456 =

209456
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 209456 and 10000.

GCD(209456, 10000) = 16

Divide both the numerator and denominator by the GCD:

209456
10000

=

209456 ÷ 16
10000 ÷ 16

=

13091
625
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