Converting 10.43782 to a Fraction
Step-by-step explanation of how to convert 10.43782 to a fraction

Result

10.43782 =
521891
50000
Mixed number:
10
21891
50000

Step 1: Identify the number of decimal places

The decimal 10.43782 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.43782 × 100000 = 1043782

Step 3: Write as a fraction

10.43782 =

1043782
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1043782 and 100000.

GCD(1043782, 100000) = 2

Divide both the numerator and denominator by the GCD:

1043782
100000

=

1043782 ÷ 2
100000 ÷ 2

=

521891
50000
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