Question

PLEASE HELP!!!!! I WILL GIVE BRAINLIEST!!!!

Answer 1

Answer:

$-3\frac{15}{16}$

Step-by-step explanation:

Given:

$(-\frac{1}{4}+2.875)\div(-\frac{2}{3})$

First, convert 2.875 to an improper fraction:

$2.875=2\frac{875}{1000}=2\frac{7}{8}=\frac{23}{8}$

The expression becomes:

$(-\frac{1}{4}+\frac{23}{8})\div(-\frac{2}{3})$

Then, add the terms in the parentheses:

$-\frac{1}{4}+\frac{23}{8}=-\frac{2}{8}+\frac{23}{8}=\frac{21}{8}$

The new expression is:

$\frac{21}{8}\div-\frac{2}{3}$

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. Therefore:

$\frac{21}{8}\times-\frac{3}{2}$

Next, multiply the numerators and denominators:

$-\frac{63}{16}$

Finally, simplify to a mixed fraction:

$-3\frac{15}{16}$