Converting 13.3625 to a Fraction
Step-by-step explanation of how to convert 13.3625 to a fraction

Result

13.3625 =
1069
80
Mixed number:
13
29
80

Step 1: Identify the number of decimal places

The decimal 13.3625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.3625 × 10000 = 133625

Step 3: Write as a fraction

13.3625 =

133625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 133625 and 10000.

GCD(133625, 10000) = 125

Divide both the numerator and denominator by the GCD:

133625
10000

=

133625 ÷ 125
10000 ÷ 125

=

1069
80
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