Converting 15.378 to a Fraction
Step-by-step explanation of how to convert 15.378 to a fraction

Result

15.378 =
7689
500
Mixed number:
15
189
500

Step 1: Identify the number of decimal places

The decimal 15.378 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.378 × 1000 = 15378

Step 3: Write as a fraction

15.378 =

15378
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15378 and 1000.

GCD(15378, 1000) = 2

Divide both the numerator and denominator by the GCD:

15378
1000

=

15378 ÷ 2
1000 ÷ 2

=

7689
500
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