Converting 13.758 to a Fraction
Step-by-step explanation of how to convert 13.758 to a fraction

Result

13.758 =
6879
500
Mixed number:
13
379
500

Step 1: Identify the number of decimal places

The decimal 13.758 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.758 × 1000 = 13758

Step 3: Write as a fraction

13.758 =

13758
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13758 and 1000.

GCD(13758, 1000) = 2

Divide both the numerator and denominator by the GCD:

13758
1000

=

13758 ÷ 2
1000 ÷ 2

=

6879
500
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