Converting 0.8825 to a Fraction
Step-by-step explanation of how to convert 0.8825 to a fraction

Result

0.8825 =
353
400

Step 1: Identify the number of decimal places

The decimal 0.8825 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8825 × 10000 = 8825

Step 3: Write as a fraction

0.8825 =

8825
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8825 and 10000.

GCD(8825, 10000) = 25

Divide both the numerator and denominator by the GCD:

8825
10000

=

8825 ÷ 25
10000 ÷ 25

=

353
400
Related Conversions
Other decimal to fraction conversions you might find useful