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tatyana61 [14]
3 years ago
11

Which expression is equivalent to -2 1/4÷ (-2/3)​

Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)=\dfrac{27}{8}=3\dfrac{3}{8}}

Step-by-step explanation:

-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)\qquad\text{the quotient of two negative numbers is positive}\\\\=2\dfrac{1}{4}\div\dfrac{2}{3}\qquad\text{convert the mixed number to the improper fraction}\\\\=\dfrac{2\cdot4+1}{4}\div\dfrac{2}{3}=\dfrac{9}{4}\div\dfrac{2}{3}\\\\\text{dividing by a fraction is the same as multiplying by its reciprocal.}\\\\=\dfrac{9}{4}\cdot\dfrac{3}{2}=\dfrac{9\cdot3}{4\cdot2}=\dfrac{27}{8}\qquad\text{convert to the mixed number}\\\\=3\dfrac{3}{8}

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Plot the following fractions and decimals on the number line.
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Answer:

hmmmmmmmm, cool

well, here ya go

Step-by-step explanation:

0.7 is AKA 7/10, which is a little less than 3/4, AKA 0.75, so in between 3/4 and 1

1/3 is larger than 1/4 but smaller than 1/2, so prob somewhere in the middle of those two.

8/7, since the numerator is larger than the denominator, is larger than 1 by 1/7, so goes right in front of 1.

0.4, AKA 4/10,  is a little less than 1/2, AKA 0.5, but larger than 1/3, AKA 0.333333333(goes on forever) so it goes in the middle of those

0.125, AKA 1/8, is the smallest of the bunch, and it's half of 1/4, AKA 0.25. That means its dead last, half between 1/4 and 0.

5/6 is the largest, around 8.333333(more foreverness)/10, which is larger than 3/4, AKA 0.75, so it goes between that and 1.

So, for your final answer:

0---0.125---1/4---1/3---0.4---1/2---0.7---3/4---5/6---1---8/7

I am not sure if thats what your structure for the question is, so I hope that that order helps. i could also put it in all decimals if it helps,  or all fractions, so let me know in the comments.

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