Converting 42.9792 to a Fraction
Step-by-step explanation of how to convert 42.9792 to a fraction

Result

42.9792 =
26862
625
Mixed number:
42
612
625

Step 1: Identify the number of decimal places

The decimal 42.9792 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.9792 × 10000 = 429792

Step 3: Write as a fraction

42.9792 =

429792
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 429792 and 10000.

GCD(429792, 10000) = 16

Divide both the numerator and denominator by the GCD:

429792
10000

=

429792 ÷ 16
10000 ÷ 16

=

26862
625
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