Converting 13.49792 to a Fraction
Step-by-step explanation of how to convert 13.49792 to a fraction

Result

13.49792 =
42181
3125
Mixed number:
13
1556
3125

Step 1: Identify the number of decimal places

The decimal 13.49792 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.49792 × 100000 = 1349792

Step 3: Write as a fraction

13.49792 =

1349792
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1349792 and 100000.

GCD(1349792, 100000) = 32

Divide both the numerator and denominator by the GCD:

1349792
100000

=

1349792 ÷ 32
100000 ÷ 32

=

42181
3125
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