Converting 8.7225 to a Fraction
Step-by-step explanation of how to convert 8.7225 to a fraction

Result

8.7225 =
3489
400
Mixed number:
8
289
400

Step 1: Identify the number of decimal places

The decimal 8.7225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.7225 × 10000 = 87225

Step 3: Write as a fraction

8.7225 =

87225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 87225 and 10000.

GCD(87225, 10000) = 25

Divide both the numerator and denominator by the GCD:

87225
10000

=

87225 ÷ 25
10000 ÷ 25

=

3489
400
Related Conversions
Other decimal to fraction conversions you might find useful