Converting 10.13782 to a Fraction
Step-by-step explanation of how to convert 10.13782 to a fraction

Result

10.13782 =
506891
50000
Mixed number:
10
6891
50000

Step 1: Identify the number of decimal places

The decimal 10.13782 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.13782 × 100000 = 1013782

Step 3: Write as a fraction

10.13782 =

1013782
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1013782 and 100000.

GCD(1013782, 100000) = 2

Divide both the numerator and denominator by the GCD:

1013782
100000

=

1013782 ÷ 2
100000 ÷ 2

=

506891
50000
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