Converting 4.082824 to a Fraction
Step-by-step explanation of how to convert 4.082824 to a fraction

Result

4.082824 =
510353
125000
Mixed number:
4
10353
125000

Step 1: Identify the number of decimal places

The decimal 4.082824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

4.082824 × 1000000 = 4082824

Step 3: Write as a fraction

4.082824 =

4082824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4082824 and 1000000.

GCD(4082824, 1000000) = 8

Divide both the numerator and denominator by the GCD:

4082824
1000000

=

4082824 ÷ 8
1000000 ÷ 8

=

510353
125000
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