Solved on Nov 07, 2023

Find the missing factor in the equation 96=×16\frac{9}{6} = \square \times \frac{1}{6}.

STEP 1

Assumptions1. The equation given is 96=×16\frac{9}{6}=\square \times \frac{1}{6} . We are looking for the value of \square that makes the equation true.

STEP 2

We can start solving the problem by isolating \square on one side of the equation. To do this, we can divide both sides of the equation by 16\frac{1}{6}.
=96÷16\square = \frac{9}{6} \div \frac{1}{6}

STEP 3

Next, we remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 16\frac{1}{6} is 66.
=96×6\square = \frac{9}{6} \times6

STEP 4

Now, we simplify the right side of the equation by cancelling out the common factor of 66.
=9×1\square =9 \times1

STEP 5

Finally, we calculate the right side of the equation to find the value of \square.
=9\square =9So, the value that completes the equation is 99.

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