Converting 15.744 to a Fraction
Step-by-step explanation of how to convert 15.744 to a fraction

Result

15.744 =
1968
125
Mixed number:
15
93
125

Step 1: Identify the number of decimal places

The decimal 15.744 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.744 × 1000 = 15744

Step 3: Write as a fraction

15.744 =

15744
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15744 and 1000.

GCD(15744, 1000) = 8

Divide both the numerator and denominator by the GCD:

15744
1000

=

15744 ÷ 8
1000 ÷ 8

=

1968
125
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