Converting 10.823072 to a Fraction
Step-by-step explanation of how to convert 10.823072 to a fraction

Result

10.823072 =
338221
31250
Mixed number:
10
25721
31250

Step 1: Identify the number of decimal places

The decimal 10.823072 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

10.823072 × 1000000 = 10823072

Step 3: Write as a fraction

10.823072 =

10823072
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10823072 and 1000000.

GCD(10823072, 1000000) = 32

Divide both the numerator and denominator by the GCD:

10823072
1000000

=

10823072 ÷ 32
1000000 ÷ 32

=

338221
31250
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