Converting 38.7516 to a Fraction
Step-by-step explanation of how to convert 38.7516 to a fraction

Result

38.7516 =
96879
2500
Mixed number:
38
1879
2500

Step 1: Identify the number of decimal places

The decimal 38.7516 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.7516 × 10000 = 387516

Step 3: Write as a fraction

38.7516 =

387516
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 387516 and 10000.

GCD(387516, 10000) = 4

Divide both the numerator and denominator by the GCD:

387516
10000

=

387516 ÷ 4
10000 ÷ 4

=

96879
2500
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