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What is #1 1/6 -: 2/3#?

Answer 1

Noah Archer

#1 1/6 div 2/3 = 1 3/4#

#1 1/6# can be written as the improper fraction #7/6#

Dividing by a fraction #a/b# is the same as multiplying by the fraction #b/a#

Therefore #color(white)("XXX")1 1/6 div 2/3 = 7/6 xx 3/2#

#color(white)("XXXXXXXX")=(7xxcancel(3))/(cancel(6)_2xx2)#

#color(white)("XXXXXXXX")=7/4#

or, as a mixed fraction #color(white)("XXXXXXXX")=1 3/4#

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Answer 2

Riley Anderson

To divide 1 1/6 by 2/3, first convert the mixed number 1 1/6 to an improper fraction. Then, multiply the numerator of the first fraction by the reciprocal of the second fraction:

1 1/6 = 7/6

Now, multiply 7/6 by 3/2:

(7/6) * (3/2) = (73) / (62) = 21/12

Finally, simplify the fraction if possible:

21/12 = 7/4

So, 1 1/6 ÷ 2/3 equals 7/4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.