Converting 21.688 to a Fraction
Step-by-step explanation of how to convert 21.688 to a fraction
Result
21.688 =
2711
125
Mixed number:
21
86
125
Step 1: Identify the number of decimal places
The decimal 21.688 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
21.688 × 1000 = 21688
Step 3: Write as a fraction
21.688 =
21688
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21688 and 1000.
GCD(21688, 1000) = 8
Divide both the numerator and denominator by the GCD:
21688
1000
=
21688 ÷ 8
1000 ÷ 8
=
2711
125
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