Converting 7.2182 to a Fraction
Step-by-step explanation of how to convert 7.2182 to a fraction

Result

7.2182 =
36091
5000
Mixed number:
7
1091
5000

Step 1: Identify the number of decimal places

The decimal 7.2182 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.2182 × 10000 = 72182

Step 3: Write as a fraction

7.2182 =

72182
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 72182 and 10000.

GCD(72182, 10000) = 2

Divide both the numerator and denominator by the GCD:

72182
10000

=

72182 ÷ 2
10000 ÷ 2

=

36091
5000
Related Conversions
Other decimal to fraction conversions you might find useful