Converting 0.21375 to a Fraction
Step-by-step explanation of how to convert 0.21375 to a fraction
Result
0.21375 =
171
800
Step 1: Identify the number of decimal places
The decimal 0.21375 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.21375 × 100000 = 21375
Step 3: Write as a fraction
0.21375 =
21375
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21375 and 100000.
GCD(21375, 100000) = 125
Divide both the numerator and denominator by the GCD:
21375
100000
=
21375 ÷ 125
100000 ÷ 125
=
171
800
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions