Respuesta :

Answer:

So the answer is [tex](7+\frac{1}{7} )\times (7+7)=100[/tex]

Step-by-step explanation:

Given,

Using [tex]7[/tex] four times and [tex]1[/tex] one time getting to  [tex]100[/tex]

If we are write this way then easily get the answer;

[tex](7+\frac{1}{7} )\times (7+7)[/tex]

Add together [tex]7+\frac{1}{7}[/tex] by making a common denominator of  [tex]7[/tex] and also add [tex](7+7)[/tex] in the second set of parenthesis to yield [tex]14[/tex]

[tex](\frac{49+1}{7} )\times 14[/tex]

[tex]\frac{50}{7} \times 14[/tex]

[tex]50\times 2[/tex]   (By Cross-reduce and multiply the fractions)

[tex]100[/tex]

∴ [tex](7+\frac{1}{7} )\times (7+7)=100[/tex]