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trasher [3.6K]
3 years ago
7

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

Mathematics
2 answers:
disa [49]3 years ago
6 0

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

dybincka [34]3 years ago
3 0

Answer:

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

Step-by-step explanation:

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