How do you use multiplying by 1 to find an expression equivalent to #7/6# with a denominator of 6d?

1 Answer
Dec 31, 2016

#7/6 xxd/d = (7d)/(6d)#

Explanation:

The answer to this question is a lot easier than it looks at first glance!

Remember that #1# can be written in many different forms.

As a fraction, when the numerator and the denominator are the same, the fraction is equivalent to 1.

#8/8 = 1" and "(-11)/(-11) = 1" and "x/x = 1" and "d/d =1#

Remember that #0/0# is undefined.

To make any equivalent fraction multiplying by 1 does not change the value of the fraction, but changes what it looks like.
Just multiply the top and bottom by the same number!

e.g.#" "2/3 xx color(red)(5/5) = 10/15" "larr color(red)(5/5=1)#

In this case we have to find a fraction equivalent to #7/6#, but the denominator is specified.

#7/6 xxd/d = (7d)/(6d)" "larr d !=0#