Converting 38.58 to a Fraction
Step-by-step explanation of how to convert 38.58 to a fraction

Result

38.58 =
1929
50
Mixed number:
38
29
50

Step 1: Identify the number of decimal places

The decimal 38.58 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

38.58 × 100 = 3858

Step 3: Write as a fraction

38.58 =

3858
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3858 and 100.

GCD(3858, 100) = 2

Divide both the numerator and denominator by the GCD:

3858
100

=

3858 ÷ 2
100 ÷ 2

=

1929
50
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