Converting 10.82284 to a Fraction
Step-by-step explanation of how to convert 10.82284 to a fraction

Result

10.82284 =
270571
25000
Mixed number:
10
20571
25000

Step 1: Identify the number of decimal places

The decimal 10.82284 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.82284 × 100000 = 1082284

Step 3: Write as a fraction

10.82284 =

1082284
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1082284 and 100000.

GCD(1082284, 100000) = 4

Divide both the numerator and denominator by the GCD:

1082284
100000

=

1082284 ÷ 4
100000 ÷ 4

=

270571
25000
Related Conversions
Other decimal to fraction conversions you might find useful