Converting 7.2272 to a Fraction
Step-by-step explanation of how to convert 7.2272 to a fraction

Result

7.2272 =
4517
625
Mixed number:
7
142
625

Step 1: Identify the number of decimal places

The decimal 7.2272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.2272 × 10000 = 72272

Step 3: Write as a fraction

7.2272 =

72272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 72272 and 10000.

GCD(72272, 10000) = 16

Divide both the numerator and denominator by the GCD:

72272
10000

=

72272 ÷ 16
10000 ÷ 16

=

4517
625
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