Question

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

Answer 1

A) -4

Explanation:

Question

`\sf evaluate \ (-4+(m+2))/(n) \ \sf when \ m=\frac23 \ and \ \sf n=\frac13`

Solution

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

`\sf \implies (-4+(\frac23+2))/(\frac13)`

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

`\sf \implies (-4+\frac83)/(\frac13)`

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

`\sf \implies (-\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 -\frac43 / \frac13=-\frac43 * \frac31`

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

`\sf \implies -\frac43 * \frac31=(-4 * 3)/(3 * 1)=-(12)/(3)`

Finally simplify:

`\sf \implies -(12)/(3)=-4`