Converting 0.21875 to a Fraction
Step-by-step explanation of how to convert 0.21875 to a fraction

Result

0.21875 =
7
32

Step 1: Identify the number of decimal places

The decimal 0.21875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.21875 × 100000 = 21875

Step 3: Write as a fraction

0.21875 =

21875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21875 and 100000.

GCD(21875, 100000) = 3125

Divide both the numerator and denominator by the GCD:

21875
100000

=

21875 ÷ 3125
100000 ÷ 3125

=

7
32
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