Example of Decimal to Fraction Conversion:

Example:

Convert 18.82 to a mixed number.

Solution:

Step 1:            18.82 is 18 and 82 hundredths.

18.82 = 18(82/100)

Step 2:            Reduce 82/100 to its simplest form =41/50

82/100= 2.41/2.50 = 2.41/2.2.25 = 2.41/ 2.2.5.5 = 41/2.5.5 = 41/50

The answer is  18(41/50)

Example:

Convert 1.73 to a fraction.

Solution:

Step 1:  1.73 = 1(73/100)

Step 2: 73 = 73 x 1

100 = 2 x 2 x 5 x 5

There are no common factors between 73 and 100, so it cannot be reduced.

1(73/100)

Example:

Convert 0.333 to a fraction.

Solution:

Step 1: 0.333 = 333/1000

Step 2: There are no ordinary factors between 333 and 1000, so it is already in its simplest form.