ANSWER
[tex]\frac{1}{14} [/tex]
EXPLANATION
Let the number of 4s in 2/7 be x.
Then we can write and solve the following equation for x.
[tex]4x = \frac{2}{7} [/tex]
Divide both sides by 4 to obtain:
[tex]x = \frac{2}{7} \div 4[/tex]
Multiply by the reciprocal of 4
[tex]x = \frac{2}{7} \times \frac{1}{4} [/tex]
This implies that
[tex]x = \frac{1}{7} \times \frac{1}{2} [/tex]
[tex]x = \frac{1}{14} [/tex]
