Converting 13.3375 to a Fraction
Step-by-step explanation of how to convert 13.3375 to a fraction

Result

13.3375 =
1067
80
Mixed number:
13
27
80

Step 1: Identify the number of decimal places

The decimal 13.3375 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.3375 × 10000 = 133375

Step 3: Write as a fraction

13.3375 =

133375
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 133375 and 10000.

GCD(133375, 10000) = 125

Divide both the numerator and denominator by the GCD:

133375
10000

=

133375 ÷ 125
10000 ÷ 125

=

1067
80
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