Converting 42.192 to a Fraction
Step-by-step explanation of how to convert 42.192 to a fraction

Result

42.192 =
5274
125
Mixed number:
42
24
125

Step 1: Identify the number of decimal places

The decimal 42.192 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

42.192 × 1000 = 42192

Step 3: Write as a fraction

42.192 =

42192
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42192 and 1000.

GCD(42192, 1000) = 8

Divide both the numerator and denominator by the GCD:

42192
1000

=

42192 ÷ 8
1000 ÷ 8

=

5274
125
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