Converting 10.4415 to a Fraction
Step-by-step explanation of how to convert 10.4415 to a fraction

Result

10.4415 =
20883
2000
Mixed number:
10
883
2000

Step 1: Identify the number of decimal places

The decimal 10.4415 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.4415 × 10000 = 104415

Step 3: Write as a fraction

10.4415 =

104415
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 104415 and 10000.

GCD(104415, 10000) = 5

Divide both the numerator and denominator by the GCD:

104415
10000

=

104415 ÷ 5
10000 ÷ 5

=

20883
2000
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