Converting 38.42 to a Fraction
Step-by-step explanation of how to convert 38.42 to a fraction

Result

38.42 =
1921
50
Mixed number:
38
21
50

Step 1: Identify the number of decimal places

The decimal 38.42 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

38.42 × 100 = 3842

Step 3: Write as a fraction

38.42 =

3842
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3842 and 100.

GCD(3842, 100) = 2

Divide both the numerator and denominator by the GCD:

3842
100

=

3842 ÷ 2
100 ÷ 2

=

1921
50
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