Question

By what rational number should the
Product of
9/7 and -35/76 be divided to get 3/5

Answer 1

Step-by-step explanation:

Let's call the rational number to divide by

x

. This means we can put up the following equation:

9

5

⋅

−

35

6

x

=

3

5

First, we multiply both sides by

x

:

9

5

⋅

−

35

6

x

⋅

x

=

3

5

⋅

x

9

5

⋅

−

35

6

=

3

5

x

Combine the fractions on the left:

−

315

30

=

3

5

x

−

21

2

=

3

5

x

Multiply both sides by

5

/

3

:

−

21

2

⋅

5

3

=

x

⋅

3

5

⋅

5

3

x

=

−

21

2

⋅

5

3

=

−

105

6

=

−

35

2