A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:

35,000 fans x \( \frac{3}{4} \) = \( \frac{105000}{4} \) = 26,250 fans.

The amount of flour you need is (3\(\frac{3}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{27}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups

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

The equation for this sequence is:

a_n = a_n-1 + 4(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61

To subtract 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 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 share.

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

\( \frac{7 x 3}{8 x 3} \) - \( \frac{4 x 2}{12 x 2} \)

\( \frac{21}{24} \) - \( \frac{8}{24} \)

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

\( \frac{21 - 8}{24} \) = \( \frac{13}{24} \) = \(\frac{13}{24}\)