Q. Simplify. Express your answer as a single fraction in simplest form. 3c4+6
Identify Given Expression: Identify the given expression and the common denominator needed to combine the terms into a single fraction.The given expression is c4/3+6. To combine these terms into a single fraction, we need a common denominator. Since 6 is a whole number, we can express it as a fraction with the same denominator as the first term, which is 3. So, we rewrite 6 as 6/1 and then find a common denominator.
Convert Whole Number to Fraction: Convert the whole number to a fraction with the common denominator.To convert 6 to a fraction with the denominator 3, we multiply both the numerator and the denominator by 3. This gives us 6×3/1×3, which simplifies to 18/3.
Combine Fractions with Common Denominator: Combine the two fractions with the common denominator.Now we have 3c4+318. Since they have the same denominator, we can combine the numerators and keep the common denominator. This gives us 3c4+18.
Check for Further Simplification: Check if the resulting fraction can be simplified further.The fraction (c4+18)/3 cannot be simplified further because c4 and 18 do not have any common factors other than 1, and 3 does not factor into 18 more than once. Therefore, the fraction is already in its simplest form.
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