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$Work out (5k)/(2)-(k+1)/(3) Give your answer as a single fraction in its simplest form.$

Work out $\frac{5 k}{2}-\frac{k+1}{3}$ $\newline$ Give your answer as a single fraction in its simplest form.

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Multiply and divide complex numbers

Full solution

Q. Work out

\frac{5 k}{2}-\frac{k+1}{3}

\newline

Give your answer as a single fraction in its simplest form.

Combine Numerators: Now that we have a common denominator, combine the numerators. $\newline$ $(15k - (2k + 2))/6$
Distribute Negative Sign: Distribute the negative sign through the parentheses in the numerator. $\newline$ $15k - 2k - 2 = 13k - 2$
Write Combined Fraction: Write the combined numerator over the common denominator. $\frac{13k - 2}{6}$
Check for Common Factors: Check if the numerator and denominator have any common factors that can be simplified. $\newline$ The numerator $13k - 2$ and the denominator $6$ do not have any common factors other than $1$ .

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