Respuesta :

Answer: 1/7

Do Keep Change Flip

Keep: 7

Change: ÷ into ×

Flip: 7/1 into 1/7

Your new problem: 7×1/7

Multiply

7/1×1/7=7/7

7/7=1

The fraction that will fit into the box to make the equation correct is:  [tex]\mathbf{\frac{1}{7}}[/tex]

Let the missing fraction that will fit in the box be represented as x.

Thus, let's find x in the equation, 7 × x = 1

Solve for the value of x to get the fraction that will fit in to make the equation correct.

[tex]7 \times x = 1[/tex]

  • Divide both sides by 7

[tex]\frac{7x}{7} = \frac{1}{7} \\\\[/tex] (division property of equality)

[tex]\mathbf{x = \frac{1}{7}}[/tex]

Therefore the fraction that will fit into the box to make the equation correct is:  [tex]\mathbf{\frac{1}{7}}[/tex]

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