Converting 21.438 to a Fraction
Step-by-step explanation of how to convert 21.438 to a fraction

Result

21.438 =
10719
500
Mixed number:
21
219
500

Step 1: Identify the number of decimal places

The decimal 21.438 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.438 × 1000 = 21438

Step 3: Write as a fraction

21.438 =

21438
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21438 and 1000.

GCD(21438, 1000) = 2

Divide both the numerator and denominator by the GCD:

21438
1000

=

21438 ÷ 2
1000 ÷ 2

=

10719
500
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