Converting 0.7225 to a Fraction
Step-by-step explanation of how to convert 0.7225 to a fraction

Result

0.7225 =
289
400

Step 1: Identify the number of decimal places

The decimal 0.7225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.7225 × 10000 = 7225

Step 3: Write as a fraction

0.7225 =

7225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7225 and 10000.

GCD(7225, 10000) = 25

Divide both the numerator and denominator by the GCD:

7225
10000

=

7225 ÷ 25
10000 ÷ 25

=

289
400
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