In order to obtain a product of 1 we need to convert the mixed number into a fraction
[tex]5\frac{2}{7}=\frac{7\cdot5+2}{7}=\frac{35+2}{7}=\frac{37}{7}[/tex]
then we write an equation
[tex]\frac{37}{7}\cdot x=1[/tex]
then we solve for x
[tex]x=\frac{7}{37}[/tex]
