An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

To simplify this fraction, first find the greatest common factor between them. The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{36}{80} \) = \( \frac{\frac{36}{4}}{\frac{80}{4}} \) = \( \frac{9}{20} \)

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

\( \frac{28\sqrt{25}}{4\sqrt{5}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{25}{5}} \)
7 \( \sqrt{5} \)

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{9x^7}{7x^4} \)
\( \frac{9}{7} \) x^{(7 - 4)}
1\(\frac{2}{7}\)x³