Converting 10.83744 to a Fraction
Step-by-step explanation of how to convert 10.83744 to a fraction

Result

10.83744 =
33867
3125
Mixed number:
10
2617
3125

Step 1: Identify the number of decimal places

The decimal 10.83744 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.83744 × 100000 = 1083744

Step 3: Write as a fraction

10.83744 =

1083744
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1083744 and 100000.

GCD(1083744, 100000) = 32

Divide both the numerator and denominator by the GCD:

1083744
100000

=

1083744 ÷ 32
100000 ÷ 32

=

33867
3125
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