Converting 5.200414 to a Fraction
Step-by-step explanation of how to convert 5.200414 to a fraction

Result

5.200414 =
2600207
500000
Mixed number:
5
100207
500000

Step 1: Identify the number of decimal places

The decimal 5.200414 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

5.200414 × 1000000 = 5200414

Step 3: Write as a fraction

5.200414 =

5200414
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5200414 and 1000000.

GCD(5200414, 1000000) = 2

Divide both the numerator and denominator by the GCD:

5200414
1000000

=

5200414 ÷ 2
1000000 ÷ 2

=

2600207
500000
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