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

\( \frac{2}{5} \) ÷ \( \frac{2}{8} \) = \( \frac{2}{5} \) x \( \frac{8}{2} \)

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

\( \frac{2}{5} \) x \( \frac{8}{2} \) = \( \frac{2 x 8}{5 x 2} \) = \( \frac{16}{10} \) = 1\(\frac{3}{5}\)

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{4}{100} \) x 5 = \( \frac{4 \times 5}{100} \) = \( \frac{20}{100} \) = 0.2 errors per hour

So, in an average hour, the machine will produce 5 - 0.2 = 4.8 error free parts.

The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 4.8 = 86.4 error free parts were produced yesterday.

The factors of 52 are [1, 2, 4, 13, 26, 52] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 3 factors [1, 2, 4] making 4 the greatest factor 52 and 56 have in common.

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{12\sqrt{45}}{6\sqrt{9}} \)
\( \frac{12}{6} \) \( \sqrt{\frac{45}{9}} \)
2 \( \sqrt{5} \)

Average speed in miles per hour is the number of miles traveled divided by the number of hours: