Question

by what number should we multiply - 15 /28 , so the product is -5/7?

Answer 1

Answer:

-15/28*x=-5/7

x=-5/7*28/-15 ( we will reciprocal the number and will change the sign from divide to multiply) =

-4/-3

=4/3 is the answer

happy to help

Step-by-step explanation:

Answer 2

Given: Fractions $\frac{-15}{28 } \ and \ \frac{-5}{7}$

To find: The number by which $\frac{-15}{28}$ must be multiplied to get $\frac{-5}{7}$

Let: The number be $x$

Solution:

The given fractions are  $\frac{-15}{28 } \ and \ \frac{-5}{7}$

The number by which  $\frac{-15}{28}$ must be multiplied to get $\frac{-5}{7}$ has been assumed to be  $x$.

∵ $x \ * \ \frac{-15}{28} = \frac{-5}{7}$

⇒ $x = \frac{-5}{7}$ ÷ $\frac{-15}{28}$

Taking reciprocal of $\frac{-15}{28}$ and changing ÷ to ×.

⇒ $x = \frac{-5}{7} \ * \ \frac{28}{-15}$

⇒ $x = \frac{4}{3}$

Hence, $\frac{4}{3}$ is the number by which $\frac{-15}{28}$ must be multiplied to get $\frac{-5}{7}$.