Converting 13.3975 to a Fraction
Step-by-step explanation of how to convert 13.3975 to a fraction

Result

13.3975 =
5359
400
Mixed number:
13
159
400

Step 1: Identify the number of decimal places

The decimal 13.3975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.3975 × 10000 = 133975

Step 3: Write as a fraction

13.3975 =

133975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 133975 and 10000.

GCD(133975, 10000) = 25

Divide both the numerator and denominator by the GCD:

133975
10000

=

133975 ÷ 25
10000 ÷ 25

=

5359
400
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