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What is #42/56# in simplest form?

Answer 1

#3/4#

#42/56 => (2 xx 3 xx 7)/(2 xx 2 xx 2 xx 7)#

#=> (color(red)(cancel(color(black)(2))) xx 3 xx color(blue)(cancel(color(black)(7))))/(color(red)(cancel(color(black)(2))) xx 2 xx 2 xx color(blue)(cancel(color(black)(7)))) #

#=> 3/4#

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Answer 2

Levi Adams

Divide by common factors until you get the simplest form.
#3/4#

Divide the numerator and denominator by a common factor. It is preferable to use the HCF, but sometimes the HCF is not obvious.

Divide both by #7#

#(42div7)/(56div7)#

#=6/8" "larr# they can both be divided by #2#

#=3/4#

The highest common factor is actually #14#. If you had seen that:

#(42div14)/(56div14) = 3/4#

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Answer 3

Gabriel Agustin

To simplify ( \frac{42}{56} ), you can find the greatest common divisor (GCD) of 42 and 56, which is 14. Then, divide both the numerator and the denominator by this GCD:

[ \frac{42}{56} = \frac{42 \div 14}{56 \div 14} = \frac{3}{4} ]

So, ( \frac{42}{56} ) in simplest form is ( \frac{3}{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.