Let x be multiplied by \(\frac{-15}{56}\)to get \(\frac{-5}{7}\)
It can be written as,
\(\frac{-15}{56}\times\text{x}=\frac{-5}{7}\)
\(\Rightarrow\) \(\text{x}=\frac{-5}{7}\div\frac{-15}{56}\)
\(\Rightarrow\) \(\text{x}=\frac{-5}{7}\times\frac{56}{-15}\)
\(\Rightarrow\) \(\text{x}=\frac{-5\times56}{7\times-15}\)
\(\Rightarrow\) \(\text{x}=\frac{-280}{-105}=\frac{-280\times-1}{-105\times-1}=\frac{280}{105}\)
\(\Rightarrow\) \(\text{x}=\frac{280}{105}=\frac{280\times35}{105\times35}=\frac{8}{3}\)
Hence, it should be multiplied by is \(\frac{8}{3}\)
