Converting 15.402 to a Fraction
Step-by-step explanation of how to convert 15.402 to a fraction

Result

15.402 =
7701
500
Mixed number:
15
201
500

Step 1: Identify the number of decimal places

The decimal 15.402 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.402 × 1000 = 15402

Step 3: Write as a fraction

15.402 =

15402
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15402 and 1000.

GCD(15402, 1000) = 2

Divide both the numerator and denominator by the GCD:

15402
1000

=

15402 ÷ 2
1000 ÷ 2

=

7701
500
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