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

\( \frac{4}{6} \) ÷ \( \frac{3}{7} \) = \( \frac{4}{6} \) x \( \frac{7}{3} \)

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

\( \frac{4}{6} \) x \( \frac{7}{3} \) = \( \frac{4 x 7}{6 x 3} \) = \( \frac{28}{18} \) = 1\(\frac{5}{9}\)

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

665,000 in scientific notation is 6.65 x 10⁵

The factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 8 factors [1, 2, 3, 4, 6, 8, 12, 24] making 24 the greatest factor 72 and 48 have in common.

Betty scored 93% on the test meaning she earned 93% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.93 = 56 points. Each question is worth 2 points so she got \( \frac{56}{2} \) = 28 questions right.

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.