Converting 10.33784 to a Fraction
Step-by-step explanation of how to convert 10.33784 to a fraction

Result

10.33784 =
129223
12500
Mixed number:
10
4223
12500

Step 1: Identify the number of decimal places

The decimal 10.33784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.33784 × 100000 = 1033784

Step 3: Write as a fraction

10.33784 =

1033784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1033784 and 100000.

GCD(1033784, 100000) = 8

Divide both the numerator and denominator by the GCD:

1033784
100000

=

1033784 ÷ 8
100000 ÷ 8

=

129223
12500
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