To subtract 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:

\( \frac{8 x 3}{3 x 3} \) - \( \frac{7 x 1}{9 x 1} \)

\( \frac{24}{9} \) - \( \frac{7}{9} \)

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

\( \frac{24 - 7}{9} \) = \( \frac{17}{9} \) = 1\(\frac{8}{9}\)

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

To subtract these radicals together their radicands must be the same:

8\( \sqrt{8} \) - 6\( \sqrt{2} \)
8\( \sqrt{4 \times 2} \) - 6\( \sqrt{2} \)
8\( \sqrt{2^2 \times 2} \) - 6\( \sqrt{2} \)
(8)(2)\( \sqrt{2} \) - 6\( \sqrt{2} \)
16\( \sqrt{2} \) - 6\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them:

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

\( \frac{4}{9} \) ÷ \( \frac{4}{6} \) = \( \frac{4}{9} \) x \( \frac{6}{4} \)

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

\( \frac{4}{9} \) x \( \frac{6}{4} \) = \( \frac{4 x 6}{9 x 4} \) = \( \frac{24}{36} \) = \(\frac{2}{3}\)