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

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 1h \)
45 miles

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

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

\( \frac{2 x 3}{2 x 3} \) + \( \frac{4 x 1}{6 x 1} \)

\( \frac{6}{6} \) + \( \frac{4}{6} \)

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

\( \frac{6 + 4}{6} \) = \( \frac{10}{6} \) = 1\(\frac{2}{3}\)

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

\( \frac{4}{6} \) ÷ \( \frac{2}{7} \) = \( \frac{4}{6} \) x \( \frac{7}{2} \)

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

\( \frac{4}{6} \) x \( \frac{7}{2} \) = \( \frac{4 x 7}{6 x 2} \) = \( \frac{28}{12} \) = 2\(\frac{1}{3}\)

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

\( \frac{56\sqrt{28}}{8\sqrt{7}} \)
\( \frac{56}{8} \) \( \sqrt{\frac{28}{7}} \)
7 \( \sqrt{4} \)

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.