I am trying to help my son with his 7th grade math homework.

The problem is:

-2/n us equal to 10/6 I want to learn how to figure this out so I can show my son.

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

-2/n = 10/6

-2/n = 5/3

This is simple problem of proportion 3 rd grade

Cross multiply:

-2( 3) = 5n

n = -6/5

Obviously, in these kind of examples, the solution must demonstrate that both sides are equal. The strategy is to discover which number n will make the fraction equivalent.

Start with the numerators, those numbers at the top of the fractions, -2 & 10. Is there a factor of 10 that will leave us with -2?

10/-2=-5; 10/-5=-2

So -5 is the factor 10 that leaves us with -2. Now we divide 6 by that same factor:

6/-5=-1.2

Another way to do this is cross-multiplication. Multiply n by 10 & multiply -2 by 6. These two products must be equal:

-12=10n

Use basic algebra to solve for n:

-12/10=n

-1.2=n

Michael,

you set up a proportion , two equal fractions or ratios. In this case- 2/N = 10/6

then you cross multiply -2 x 6 = 10 x N

which gives you- 12 = 10N

to find out what N equals divide each side of the equation by 10 so- 12/10 + 10N/10

which gives you -1.2 = N

so -2/1.2 = 10/6

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