Math

Question Multiply 57(16)-\frac{5}{7}\left(-\frac{1}{6}\right) and write the answer in simplest form.

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions 57-\frac{5}{7} and 16-\frac{1}{6}. . We need to simplify the result to its simplest form.

STEP 2

To multiply two fractions, we multiply the numerators (the top numbers) together, and the denominators (the bottom numbers) together.
57×16=5×17×6-\frac{5}{7} \times -\frac{1}{6} = \frac{-5 \times -1}{7 \times6}

STEP 3

Now, multiply the numerators and the denominators.
5×17×6=542\frac{-5 \times -1}{7 \times6} = \frac{5}{42}

STEP 4

The fraction 42\frac{}{42} is already in its simplest form, as there are no common factors between and42.
So, the multiplication of 7-\frac{}{7} and 16-\frac{1}{6} is 42\frac{}{42}.

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