Converting 13.575 to a Fraction
Step-by-step explanation of how to convert 13.575 to a fraction

Result

13.575 =
543
40
Mixed number:
13
23
40

Step 1: Identify the number of decimal places

The decimal 13.575 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.575 × 1000 = 13575

Step 3: Write as a fraction

13.575 =

13575
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13575 and 1000.

GCD(13575, 1000) = 25

Divide both the numerator and denominator by the GCD:

13575
1000

=

13575 ÷ 25
1000 ÷ 25

=

543
40
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