Converting 13.5375 to a Fraction
Step-by-step explanation of how to convert 13.5375 to a fraction

Result

13.5375 =
1083
80
Mixed number:
13
43
80

Step 1: Identify the number of decimal places

The decimal 13.5375 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.5375 × 10000 = 135375

Step 3: Write as a fraction

13.5375 =

135375
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 135375 and 10000.

GCD(135375, 10000) = 125

Divide both the numerator and denominator by the GCD:

135375
10000

=

135375 ÷ 125
10000 ÷ 125

=

1083
80
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