Converting 14.56 to a Fraction
Step-by-step explanation of how to convert 14.56 to a fraction

Result

14.56 =
364
25
Mixed number:
14
14
25

Step 1: Identify the number of decimal places

The decimal 14.56 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

14.56 × 100 = 1456

Step 3: Write as a fraction

14.56 =

1456
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1456 and 100.

GCD(1456, 100) = 4

Divide both the numerator and denominator by the GCD:

1456
100

=

1456 ÷ 4
100 ÷ 4

=

364
25
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