Question

Help ASAP. i need you to please break it down ive tried and just don't understand ​

Answer 1

Answer:

A) -4

Step-by-step explanation:

Question

$\sf evaluate \ \dfrac{-4+(m+2)}{n} \ \sf when \ m=\dfrac23 \ and \ \sf n=\dfrac13$

Solution

Substitute the given values of m and n into the original expression:

$\sf \implies \dfrac{-4+(\frac23+2)}{\frac13}$

Carry out the operation in the brackets first $\sf (\frac23+3)=\frac83$

$\sf \implies \dfrac{-4+\frac83}{\frac13}$

Now carry out the operation in the numerator $-4+\frac83=-\frac43$

$\sf \implies \dfrac{-\frac43}{\frac13}$

Dividing by a fraction is the same as multiplying by the flipped version of the fraction (flipped = swap the numerator and denominator of the fraction we are dividing by):

$\sf \implies -\dfrac43 \div \dfrac13=-\dfrac43 \times \dfrac31$

To multiply a fraction, simply multiply the numerators and multiply the denominators:

$\sf \implies -\dfrac43 \times \dfrac31=\dfrac{-4 \times 3}{3 \times 1}=-\dfrac{12}{3}$

Finally simplify:

$\sf \implies -\dfrac{12}{3}=-4$