Converting 7.3205 to a Fraction
Step-by-step explanation of how to convert 7.3205 to a fraction

Result

7.3205 =
14641
2000
Mixed number:
7
641
2000

Step 1: Identify the number of decimal places

The decimal 7.3205 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.3205 × 10000 = 73205

Step 3: Write as a fraction

7.3205 =

73205
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 73205 and 10000.

GCD(73205, 10000) = 5

Divide both the numerator and denominator by the GCD:

73205
10000

=

73205 ÷ 5
10000 ÷ 5

=

14641
2000
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