A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.

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

\( \frac{4 x 5}{8 x 5} \) + \( \frac{2 x 4}{10 x 4} \)

\( \frac{20}{40} \) + \( \frac{8}{40} \)

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

\( \frac{20 + 8}{40} \) = \( \frac{28}{40} \) = \(\frac{7}{10}\)

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

If the tiger has consumed 120 pounds of food in 12 days that's \( \frac{120}{12} \) = 10 pounds of food per day. The tiger needs to consume 150 - 120 = 30 more pounds of food to reach 150 pounds total. At 10 pounds of food per day that's \( \frac{30}{10} \) = 3 more days.

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.