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

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

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 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

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

\( \frac{3 x 11}{3 x 11} \) + \( \frac{9 x 3}{11 x 3} \)

\( \frac{33}{33} \) + \( \frac{27}{33} \)

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

\( \frac{33 + 27}{33} \) = \( \frac{60}{33} \) = 1\(\frac{9}{11}\)

The greatest common factor (GCF) is the greatest factor that divides two integers.

To simplify a radical, factor out the perfect squares:

\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)