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
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