Converting 56.4288 to a Fraction
Step-by-step explanation of how to convert 56.4288 to a fraction

Result

56.4288 =
35268
625
Mixed number:
56
268
625

Step 1: Identify the number of decimal places

The decimal 56.4288 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

56.4288 × 10000 = 564288

Step 3: Write as a fraction

56.4288 =

564288
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 564288 and 10000.

GCD(564288, 10000) = 16

Divide both the numerator and denominator by the GCD:

564288
10000

=

564288 ÷ 16
10000 ÷ 16

=

35268
625
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