Converting 15.1936 to a Fraction
Step-by-step explanation of how to convert 15.1936 to a fraction

Result

15.1936 =
9496
625
Mixed number:
15
121
625

Step 1: Identify the number of decimal places

The decimal 15.1936 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.1936 × 10000 = 151936

Step 3: Write as a fraction

15.1936 =

151936
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 151936 and 10000.

GCD(151936, 10000) = 16

Divide both the numerator and denominator by the GCD:

151936
10000

=

151936 ÷ 16
10000 ÷ 16

=

9496
625
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