Converting 38.1624 to a Fraction
Step-by-step explanation of how to convert 38.1624 to a fraction

Result

38.1624 =
47703
1250
Mixed number:
38
203
1250

Step 1: Identify the number of decimal places

The decimal 38.1624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.1624 × 10000 = 381624

Step 3: Write as a fraction

38.1624 =

381624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 381624 and 10000.

GCD(381624, 10000) = 8

Divide both the numerator and denominator by the GCD:

381624
10000

=

381624 ÷ 8
10000 ÷ 8

=

47703
1250
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