Converting 15.3778 to a Fraction
Step-by-step explanation of how to convert 15.3778 to a fraction
Result
15.3778 =
76889
5000
Mixed number:
15
1889
5000
Step 1: Identify the number of decimal places
The decimal 15.3778 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.3778 × 10000 = 153778
Step 3: Write as a fraction
15.3778 =
153778
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 153778 and 10000.
GCD(153778, 10000) = 2
Divide both the numerator and denominator by the GCD:
153778
10000
=
153778 ÷ 2
10000 ÷ 2
=
76889
5000
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