Converting 15.2678 to a Fraction
Step-by-step explanation of how to convert 15.2678 to a fraction
Result
15.2678 =
76339
5000
Mixed number:
15
1339
5000
Step 1: Identify the number of decimal places
The decimal 15.2678 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.2678 × 10000 = 152678
Step 3: Write as a fraction
15.2678 =
152678
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 152678 and 10000.
GCD(152678, 10000) = 2
Divide both the numerator and denominator by the GCD:
152678
10000
=
152678 ÷ 2
10000 ÷ 2
=
76339
5000
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