Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 07, 2023

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

STEP 1

Assumptions1. We are multiplying two fractions $-\frac{5}{7}$ and $-\frac{1}{6}$ . . 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.
$-\frac{5}{7} \times -\frac{1}{6} = \frac{-5 \times -1}{7 \times6}$

STEP 3

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

STEP 4

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

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