Converting 15.795 to a Fraction
Step-by-step explanation of how to convert 15.795 to a fraction

Result

15.795 =
3159
200
Mixed number:
15
159
200

Step 1: Identify the number of decimal places

The decimal 15.795 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.795 × 1000 = 15795

Step 3: Write as a fraction

15.795 =

15795
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15795 and 1000.

GCD(15795, 1000) = 5

Divide both the numerator and denominator by the GCD:

15795
1000

=

15795 ÷ 5
1000 ÷ 5

=

3159
200
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