Converting 13.7535 to a Fraction
Step-by-step explanation of how to convert 13.7535 to a fraction

Result

13.7535 =
27507
2000
Mixed number:
13
1507
2000

Step 1: Identify the number of decimal places

The decimal 13.7535 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7535 × 10000 = 137535

Step 3: Write as a fraction

13.7535 =

137535
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137535 and 10000.

GCD(137535, 10000) = 5

Divide both the numerator and denominator by the GCD:

137535
10000

=

137535 ÷ 5
10000 ÷ 5

=

27507
2000
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