Question

Which expression is equivalent to Negative 2 and one-fourth divided by negative two-thirds?

Answer 1

Negative 2 and one-fourth divided by negative two-thirds is equivalent to $\frac{-2+\frac{1}{4}}{-\frac{2}{3}}$ and simplified into $=\frac{21}{8}$

Step-by-step explanation:

We need to find the equivalent expression of Negative 2 and one-fourth divided by negative two-thirds

Basically we will translate it into mathematical form.

Converting step by step

Negative 2: -2

and: +

one-fourth: 1/4

combining them we get:

Negative 2 and one-fourth: $-2+\frac{1}{4}$

divided by negative two-thirds: $\frac{-2+\frac{1}{4} }{-\frac{2}{3} }$

So, Negative 2 and one-fourth divided by negative two-thirds is equivalent to: $\frac{-2+\frac{1}{4} }{-\frac{2}{3} }$

We can simplify the term $\frac{-2+\frac{1}{4} }{-\frac{2}{3} }$ to get simplified answer.

Simplifying:

$\frac{-2+\frac{1}{4}}{-\frac{2}{3}}$

Taking LCM of numerator

$=\frac{\frac{-2*4+1}{4}}{-\frac{2}{3}}$

$=\frac{\frac{-8+1}{4}}{-\frac{2}{3}}$

$=\frac{\frac{-7}{4}}{-\frac{2}{3}}$

Converting division into multiplication and reciprocating the denominator

$=\frac{-7}{4}\times -\frac{3}{2}$

$=\frac{-7*-3}{4*2}$

$=\frac{21}{8}$

So, Negative 2 and one-fourth divided by negative two-thirds is equivalent to $\frac{-2+\frac{1}{4}}{-\frac{2}{3}}$ and simplified into $=\frac{21}{8}$

Keywords: Solving Expressions

Learn more about Solving Expressions at:

• brainly.com/question/2166248
• brainly.com/question/3658196
• brainly.com/question/2228475

#learnwithBrainly

Answer 2

Answer:

The Answer is B) -9/4 divided by (-2/3)

Step-by-step explanation: