Converting 21.3125 to a Fraction
Step-by-step explanation of how to convert 21.3125 to a fraction

Result

21.3125 =
341
16
Mixed number:
21
5
16

Step 1: Identify the number of decimal places

The decimal 21.3125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.3125 × 10000 = 213125

Step 3: Write as a fraction

21.3125 =

213125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 213125 and 10000.

GCD(213125, 10000) = 625

Divide both the numerator and denominator by the GCD:

213125
10000

=

213125 ÷ 625
10000 ÷ 625

=

341
16
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