Converting 19.56 to a Fraction
Step-by-step explanation of how to convert 19.56 to a fraction

Result

19.56 =
489
25
Mixed number:
19
14
25

Step 1: Identify the number of decimal places

The decimal 19.56 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

19.56 × 100 = 1956

Step 3: Write as a fraction

19.56 =

1956
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1956 and 100.

GCD(1956, 100) = 4

Divide both the numerator and denominator by the GCD:

1956
100

=

1956 ÷ 4
100 ÷ 4

=

489
25
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