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Ahat [919]
2 years ago
11

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

Mathematics
1 answer:
devlian [24]2 years ago
6 0

Answer:

A) -4

Step-by-step explanation:

<u>Question</u>

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

<u>Solution</u>

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

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