2 years ago

Can someone plz help me it’s due today plz and thank you

Mathematics

1 answer:

Snezhnost [94]2 years ago

4 0

Answ1

Step-by-step explanation:

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dlinn [17]

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$\displaystyle A+B=-\frac{5}{4}$

Step-by-step explanation:

<u>The Number Line</u>

Let's call

$\displaystyle A=-4\frac{1}{2}$

$\displaystyle B=+3\frac{1}{4}$

Both numbers are given as mixed fractions. Let's convert them to improper fractions:

$\displaystyle A=-4\frac{1}{2}=-(4+\frac{1}{2})=-\frac{8+1}{2}=-\frac{9}{2}$

$\displaystyle B=3\frac{1}{4}=3+\frac{1}{4}=\frac{12+1}{4}=\frac{13}{4}$

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Now represent the points in the number line. See the image below

Finally, calculate their sum:

$\displaystyle A+B=-\frac{9}{2}+\frac{13}{4}$

$\displaystyle A+B=-\frac{18}{4}+\frac{13}{4}=\frac{-18+13}{4}$

$\boxed{\displaystyle A+B=-\frac{5}{4}}$

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