Converting 21.98304 to a Fraction
Step-by-step explanation of how to convert 21.98304 to a fraction
Result
21.98304 =
68697
3125
Mixed number:
21
3072
3125
Step 1: Identify the number of decimal places
The decimal 21.98304 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
21.98304 × 100000 = 2198304
Step 3: Write as a fraction
21.98304 =
2198304
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2198304 and 100000.
GCD(2198304, 100000) = 32
Divide both the numerator and denominator by the GCD:
2198304
100000
=
2198304 ÷ 32
100000 ÷ 32
=
68697
3125
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