To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{9} \) ÷ \( \frac{1}{7} \) = \( \frac{4}{9} \) x \( \frac{7}{1} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{9} \) x \( \frac{7}{1} \) = \( \frac{4 x 7}{9 x 1} \) = \( \frac{28}{9} \) = 3\(\frac{1}{9}\)

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{8 x 3}{3 x 3} \) + \( \frac{2 x 1}{9 x 1} \)

\( \frac{24}{9} \) + \( \frac{2}{9} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{24 + 2}{9} \) = \( \frac{26}{9} \) = 2\(\frac{8}{9}\)

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.