Converting 10.6782 to a Fraction
Step-by-step explanation of how to convert 10.6782 to a fraction

Result

10.6782 =
53391
5000
Mixed number:
10
3391
5000

Step 1: Identify the number of decimal places

The decimal 10.6782 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.6782 × 10000 = 106782

Step 3: Write as a fraction

10.6782 =

106782
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 106782 and 10000.

GCD(106782, 10000) = 2

Divide both the numerator and denominator by the GCD:

106782
10000

=

106782 ÷ 2
10000 ÷ 2

=

53391
5000
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