Converting 21.64 to a Fraction
Step-by-step explanation of how to convert 21.64 to a fraction

Result

21.64 =
541
25
Mixed number:
21
16
25

Step 1: Identify the number of decimal places

The decimal 21.64 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

21.64 × 100 = 2164

Step 3: Write as a fraction

21.64 =

2164
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2164 and 100.

GCD(2164, 100) = 4

Divide both the numerator and denominator by the GCD:

2164
100

=

2164 ÷ 4
100 ÷ 4

=

541
25
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