Converting 21.984 to a Fraction
Step-by-step explanation of how to convert 21.984 to a fraction

Result

21.984 =
2748
125
Mixed number:
21
123
125

Step 1: Identify the number of decimal places

The decimal 21.984 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.984 × 1000 = 21984

Step 3: Write as a fraction

21.984 =

21984
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21984 and 1000.

GCD(21984, 1000) = 8

Divide both the numerator and denominator by the GCD:

21984
1000

=

21984 ÷ 8
1000 ÷ 8

=

2748
125
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