Converting 15.1982 to a Fraction
Step-by-step explanation of how to convert 15.1982 to a fraction

Result

15.1982 =
75991
5000
Mixed number:
15
991
5000

Step 1: Identify the number of decimal places

The decimal 15.1982 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.1982 × 10000 = 151982

Step 3: Write as a fraction

15.1982 =

151982
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 151982 and 10000.

GCD(151982, 10000) = 2

Divide both the numerator and denominator by the GCD:

151982
10000

=

151982 ÷ 2
10000 ÷ 2

=

75991
5000
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