Converting 0.21125 to a Fraction
Step-by-step explanation of how to convert 0.21125 to a fraction

Result

0.21125 =
169
800

Step 1: Identify the number of decimal places

The decimal 0.21125 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.21125 × 100000 = 21125

Step 3: Write as a fraction

0.21125 =

21125
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21125 and 100000.

GCD(21125, 100000) = 125

Divide both the numerator and denominator by the GCD:

21125
100000

=

21125 ÷ 125
100000 ÷ 125

=

169
800
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