Converting 21.4416 to a Fraction
Step-by-step explanation of how to convert 21.4416 to a fraction

Result

21.4416 =
13401
625
Mixed number:
21
276
625

Step 1: Identify the number of decimal places

The decimal 21.4416 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.4416 × 10000 = 214416

Step 3: Write as a fraction

21.4416 =

214416
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 214416 and 10000.

GCD(214416, 10000) = 16

Divide both the numerator and denominator by the GCD:

214416
10000

=

214416 ÷ 16
10000 ÷ 16

=

13401
625
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