Converting 21.4256 to a Fraction
Step-by-step explanation of how to convert 21.4256 to a fraction
Result
21.4256 =
13391
625
Mixed number:
21
266
625
Step 1: Identify the number of decimal places
The decimal 21.4256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
21.4256 × 10000 = 214256
Step 3: Write as a fraction
21.4256 =
214256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 214256 and 10000.
GCD(214256, 10000) = 16
Divide both the numerator and denominator by the GCD:
214256
10000
=
214256 ÷ 16
10000 ÷ 16
=
13391
625
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