Question

The product of a number and -7/10 is 1/2 .

What is the number?

-5/7
5/7
-7/20
7/20

Answer 1

State it as an algebra problem:

Answer 2

x * -7/10 = 1/2

Answer 3

Multiply both sides by 10/-7

Answer 4

does it help if we write your problem in this form

\[-\frac{7}{10}*x=\frac{1}{2}\]

Answer 5

so then we get x * -7/10 * 10/-7 = 1/2 * 10/-7

and [-7/10 * 10/-7] = 1 so we get

x = 1/2 * 10/-7

Answer 6

and we multiply numerators and denominators together when multiplying fractions, so you get

10/-14

which we can reduce to

5/-7

and we can move the negative to the numerator if we want

x= -5 / 7

Which is about equal to -.714

Answer 7

so its -5/7?

Answer 8

no 5/7 not -5/7

Answer 9

It is -5/7

Answer 10

negative times a positive = negative

negative times a negative = positive

Answer 11

Two negative numbers multiply to make a positive

Answer 12

thanks :)