help with dividing integers?!?

Question

-8 over 9 divded by 2 over 3. they are fractions but i dotn know how to solve the problem.

another problem i need help with:

0 times 4.75. (not fraction)

0 divded by 10. (thsi is not fraction)

-1 over 3 divded by (-6). they are also fractions

hope it isnt confusing

Answer 1

To divide by a fraction, you multiply by the inverse of the fraction.

If a/b is a fraction, then b/a is the inverse of the fraction.

Example:

(-8/9) / (2/3) is the same as
(-8/9) * (3/2)

0 times anything is always 0.

0 divided by 10 is a fraction (it is 0/10).

Using the first rule above, dividing by 10 is the same as multiplying by 1/10.
0 * (1/10) = 0
because -- second rule above -- 0 times anything is always 0.

(-1/3) / (-6) is the same as
(-1/3) / (-6/1) dividing a number by 1 does not change the number, and -6/1 is now a fraction, so we can apply the first rule above (dividing by a fraction is the same as multiplying by the inverse of the fraction)
(-1/3) * (1/-6) = [(-1)*(1)] / [(3)*(-6)] = -1/-18

-1/-18 is the same as 1/18
-1 over 3, divided by 6 is 1 over 18.

Answer 2

Dividing one fraction by another is the same as multiplying the dividend by the reciprocal of the divisor. In other words, you can turn the divisor upside down and turn the problem into a multiply:

(-8/9) / (2/3) = (-8/9) * (3/2)

You may now perform the multiplication, temporarily ignoring the negative signs. When it is time, count up the negative signs. If you have an even number of them, they all cancel each other and you have a positive answer. If the number of minus signs is odd, you have one left over that propagates to the answer, making it negative. This rule with the minus signs works for both multiplication and division. The problem then becomes

(-8/9) * 3/2
= -4/3

Zero times anything or zero divided by anything other than another zero is equal to zero. Therefore,

0 * (you don't even have to look at the other terms) = 0

0 ÷ (anything except 0) = 0

You can think of a division as a fraction or vice versa; they amount to the same thing. In practice, division problems are often written as fractions.

6 ÷ 3 = 6/3 = 2

In your example,

-1/3 ÷ (-6)
= -1/3 ÷ (-6/1) (You can convert an integer into a fraction simply by putting a 1 in the denominator if you like.)
=-1/3 * (-1/6) (remember about invert and multiply? You also have two minus signs in the problem, an even number. The negative signs therefore cancel each other and the result is positive.)
= 1/18

Answer 3

(-8/9) / (2/3)
when you are dividing two fractions, all you have to do is make one of them an inverse and then solve as though you were multiplying. let's flip the first fraction, then multiply to solve:
(-9/8) * (2/3) = -18/24 = -3/4


0 times 4.75 = 0 (ANY number times zero is always zero)

0 divded by 10 = 0 (ANY number that divides zero is always zero)


(-1/3) / (-6)
this is just like the first problem but with an added twist. remember, any whole number is itself over 1. so -6 = -6/1. solve like the first problem, flip one fraction and then multiply:
(-3/1) * (-6/1) = 18/1 = 18.

Answer 4

(-8/9) / (2/3) when dividing by a fraction, you have to take the reciprocal of the sencond fraction and multiply it to the first. so your new equation should look like this:

(-8/9) x (3/2) now you can cross multiply

your answer is (-4/3)




anything multiplied by 0 is going to be 0

0 divided by any number is 0



(-1/3) / (-6) think of (-6) as a fraction

(-1/3) / (-6/1) take reciprocal of (-6/1) and multiply

(-1/3) x (1/-6) negative times negative is positive

the answer is (1/18)

Answer 5

( -8 / 9 ) / ( 2 / 3) If you cna remember the saying when adividing by a fraction invert and multiply so.....
(-8 / 9 ) ( 3 / 2) = ( - 24 / 18) = -8/6 = -4 /3

Any number multiplied by zero is zero

Any zero divided by a number is zero
( -1 /3) / (-6) is the same as ( -1 / 3 ) / ( -6 /1) so
invert and multiply
(-1/3) ( 1/ -6) = -1/ -18 = 1/18

Answer 6

Question 1
(- 8 / 9) x (3 / 2) = - 4 / 3
Question 2
0
Question 3
0
Question 4
(-1 / 3) / ( - 6 ) = 1 / 18