Converting 15.8408 to a Fraction
Step-by-step explanation of how to convert 15.8408 to a fraction

Result

15.8408 =
19801
1250
Mixed number:
15
1051
1250

Step 1: Identify the number of decimal places

The decimal 15.8408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.8408 × 10000 = 158408

Step 3: Write as a fraction

15.8408 =

158408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 158408 and 10000.

GCD(158408, 10000) = 8

Divide both the numerator and denominator by the GCD:

158408
10000

=

158408 ÷ 8
10000 ÷ 8

=

19801
1250
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