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

\( \frac{3}{8} \) ÷ \( \frac{3}{7} \) = \( \frac{3}{8} \) x \( \frac{7}{3} \)

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

\( \frac{3}{8} \) x \( \frac{7}{3} \) = \( \frac{3 x 7}{8 x 3} \) = \( \frac{21}{24} \) = \(\frac{7}{8}\)

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The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

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 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 share.

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

\( \frac{2 x 5}{3 x 5} \) + \( \frac{9 x 3}{5 x 3} \)

\( \frac{10}{15} \) + \( \frac{27}{15} \)

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

\( \frac{10 + 27}{15} \) = \( \frac{37}{15} \) = 2\(\frac{7}{15}\)