Converting 15.754 to a Fraction
Step-by-step explanation of how to convert 15.754 to a fraction
Result
15.754 =
7877
500
Mixed number:
15
377
500
Step 1: Identify the number of decimal places
The decimal 15.754 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.754 × 1000 = 15754
Step 3: Write as a fraction
15.754 =
15754
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15754 and 1000.
GCD(15754, 1000) = 2
Divide both the numerator and denominator by the GCD:
15754
1000
=
15754 ÷ 2
1000 ÷ 2
=
7877
500
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