Converting 56.9488 to a Fraction
Step-by-step explanation of how to convert 56.9488 to a fraction

Result

56.9488 =
35593
625
Mixed number:
56
593
625

Step 1: Identify the number of decimal places

The decimal 56.9488 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

56.9488 × 10000 = 569488

Step 3: Write as a fraction

56.9488 =

569488
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 569488 and 10000.

GCD(569488, 10000) = 16

Divide both the numerator and denominator by the GCD:

569488
10000

=

569488 ÷ 16
10000 ÷ 16

=

35593
625
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