Converting 42.8576 to a Fraction
Step-by-step explanation of how to convert 42.8576 to a fraction

Result

42.8576 =
26786
625
Mixed number:
42
536
625

Step 1: Identify the number of decimal places

The decimal 42.8576 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.8576 × 10000 = 428576

Step 3: Write as a fraction

42.8576 =

428576
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 428576 and 10000.

GCD(428576, 10000) = 16

Divide both the numerator and denominator by the GCD:

428576
10000

=

428576 ÷ 16
10000 ÷ 16

=

26786
625
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