Converting 7.225 to a Fraction
Step-by-step explanation of how to convert 7.225 to a fraction

Result

7.225 =
289
40
Mixed number:
7
9
40

Step 1: Identify the number of decimal places

The decimal 7.225 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.225 × 1000 = 7225

Step 3: Write as a fraction

7.225 =

7225
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7225 and 1000.

GCD(7225, 1000) = 25

Divide both the numerator and denominator by the GCD:

7225
1000

=

7225 ÷ 25
1000 ÷ 25

=

289
40
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