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

If the tiger has consumed 110 pounds of food in 10 days that's \( \frac{110}{10} \) = 11 pounds of food per day. The tiger needs to consume 154 - 110 = 44 more pounds of food to reach 154 pounds total. At 11 pounds of food per day that's \( \frac{44}{11} \) = 4 more days.

To subtract 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 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 share.

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

\( \frac{6 x 5}{2 x 5} \) - \( \frac{8 x 1}{10 x 1} \)

\( \frac{30}{10} \) - \( \frac{8}{10} \)

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

\( \frac{30 - 8}{10} \) = \( \frac{22}{10} \) = 2\(\frac{1}{5}\)

Diane scored 96% on the test meaning she earned 96% of the possible points on the test. There were 210 possible points on the test so she earned 210 x 0.96 = 201 points. Each question is worth 3 points so she got \( \frac{201}{3} \) = 67 questions right.

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

\( \frac{3}{8} \) ÷ \( \frac{3}{9} \) = \( \frac{3}{8} \) x \( \frac{9}{3} \)

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

\( \frac{3}{8} \) x \( \frac{9}{3} \) = \( \frac{3 x 9}{8 x 3} \) = \( \frac{27}{24} \) = 1\(\frac{1}{8}\)