Converting 10.22378 to a Fraction
Step-by-step explanation of how to convert 10.22378 to a fraction

Result

10.22378 =
511189
50000
Mixed number:
10
11189
50000

Step 1: Identify the number of decimal places

The decimal 10.22378 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.22378 × 100000 = 1022378

Step 3: Write as a fraction

10.22378 =

1022378
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1022378 and 100000.

GCD(1022378, 100000) = 2

Divide both the numerator and denominator by the GCD:

1022378
100000

=

1022378 ÷ 2
100000 ÷ 2

=

511189
50000
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