Answer:
[tex]3\frac{4}{5}[/tex]
Step-by-step explanation:
let the unknown number be x, therefore we have:
[tex]4\times x\frac{5}{7}=10\frac{6}{7}[/tex]
we rewrite our equation to solve for x by grouping like terms:
[tex]x\frac{5}{7}=\frac{10\frac{6}{7}}{4}\\\\x\frac{5}{7}=2\frac{5}{7}\\\\\frac{7}{5}\times x\frac{5}{7}=\frac{19}{7}\times \frac{7}{5}\\\\\\x=\frac{19}{5}\\\\x=3\frac{4}{5}[/tex]
Hence, the unknown number is [tex]3\frac{4}{5}[/tex]
