Converting 0.897664 to a Fraction
Step-by-step explanation of how to convert 0.897664 to a fraction

Result

0.897664 =
14026
15625

Step 1: Identify the number of decimal places

The decimal 0.897664 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.897664 × 1000000 = 897664

Step 3: Write as a fraction

0.897664 =

897664
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 897664 and 1000000.

GCD(897664, 1000000) = 64

Divide both the numerator and denominator by the GCD:

897664
1000000

=

897664 ÷ 64
1000000 ÷ 64

=

14026
15625
Related Conversions
Other decimal to fraction conversions you might find useful