Converting 13.975 to a Fraction
Step-by-step explanation of how to convert 13.975 to a fraction

Result

13.975 =
559
40
Mixed number:
13
39
40

Step 1: Identify the number of decimal places

The decimal 13.975 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.975 × 1000 = 13975

Step 3: Write as a fraction

13.975 =

13975
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13975 and 1000.

GCD(13975, 1000) = 25

Divide both the numerator and denominator by the GCD:

13975
1000

=

13975 ÷ 25
1000 ÷ 25

=

559
40
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