Converting 38.6996 to a Fraction
Step-by-step explanation of how to convert 38.6996 to a fraction

Result

38.6996 =
96749
2500
Mixed number:
38
1749
2500

Step 1: Identify the number of decimal places

The decimal 38.6996 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.6996 × 10000 = 386996

Step 3: Write as a fraction

38.6996 =

386996
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 386996 and 10000.

GCD(386996, 10000) = 4

Divide both the numerator and denominator by the GCD:

386996
10000

=

386996 ÷ 4
10000 ÷ 4

=

96749
2500
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