Converting 15.295 to a Fraction
Step-by-step explanation of how to convert 15.295 to a fraction

Result

15.295 =
3059
200
Mixed number:
15
59
200

Step 1: Identify the number of decimal places

The decimal 15.295 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.295 × 1000 = 15295

Step 3: Write as a fraction

15.295 =

15295
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15295 and 1000.

GCD(15295, 1000) = 5

Divide both the numerator and denominator by the GCD:

15295
1000

=

15295 ÷ 5
1000 ÷ 5

=

3059
200
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