Converting 21.4176 to a Fraction
Step-by-step explanation of how to convert 21.4176 to a fraction

Result

21.4176 =
13386
625
Mixed number:
21
261
625

Step 1: Identify the number of decimal places

The decimal 21.4176 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.4176 × 10000 = 214176

Step 3: Write as a fraction

21.4176 =

214176
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 214176 and 10000.

GCD(214176, 10000) = 16

Divide both the numerator and denominator by the GCD:

214176
10000

=

214176 ÷ 16
10000 ÷ 16

=

13386
625
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