Converting 7.5205 to a Fraction
Step-by-step explanation of how to convert 7.5205 to a fraction

Result

7.5205 =
15041
2000
Mixed number:
7
1041
2000

Step 1: Identify the number of decimal places

The decimal 7.5205 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.5205 × 10000 = 75205

Step 3: Write as a fraction

7.5205 =

75205
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 75205 and 10000.

GCD(75205, 10000) = 5

Divide both the numerator and denominator by the GCD:

75205
10000

=

75205 ÷ 5
10000 ÷ 5

=

15041
2000
Related Conversions
Other decimal to fraction conversions you might find useful