Converting 13.3125 to a Fraction
Step-by-step explanation of how to convert 13.3125 to a fraction

Result

13.3125 =
213
16
Mixed number:
13
5
16

Step 1: Identify the number of decimal places

The decimal 13.3125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.3125 × 10000 = 133125

Step 3: Write as a fraction

13.3125 =

133125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 133125 and 10000.

GCD(133125, 10000) = 625

Divide both the numerator and denominator by the GCD:

133125
10000

=

133125 ÷ 625
10000 ÷ 625

=

213
16
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