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How do you simplify #6 div 1/2#?

Answer 1

See the entire solution process below:

First, reword this sentence as follows:

#6/(1/2)# which can again be rewritten as: #(6/1)/(1/2)#

This rule can now be applied to divide fractions:

#(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))#

#(color(red)(6)/color(blue)(1))/(color(green)(1)/color(purple)(2)) = (color(red)(6) xx color(purple)(2))/(color(blue)(1) xx color(green)(1)) = 12/1 = 12#

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Answer 2

Ethan Adkins

To simplify ( 6 \div \frac{1}{2} ), you can multiply 6 by the reciprocal of ( \frac{1}{2} ), which is 2. So, ( 6 \div \frac{1}{2} = 6 \times 2 = 12 ).

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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.