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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  3. Percentage - Wikipedia

    en.wikipedia.org/wiki/Percentage

    The percent value can also be found by multiplying first instead of later, so in this example, the 50 would be multiplied by 100 to give 5,000, and this result would be divided by 1,250 to give 4%. To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is:

  4. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    In a typical 6/49 game, each player chooses six distinct numbers from a range of 1–49. If the six numbers on a ticket match the numbers drawn by the lottery, the ticket holder is a jackpot winner— regardless of the order of the numbers. The probability of this happening is 1 in 13,983,816. The chance of winning can be demonstrated as ...

  5. Odds - Wikipedia

    en.wikipedia.org/wiki/Odds

    A study on soccer betting found that the probability for the home team to win was generally about 3.4% less than the value calculated from the odds (for example, 46.6% for even odds). It was about 3.7% less for wins by the visitors, and 5.7% less for draws. [14] To understand roulette probabilities and calculate them, you need to know the formula.

  6. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    If a mixture contains substances A, B, C and D in the ratio 5:9:4:2 then there are 5 parts of A for every 9 parts of B, 4 parts of C and 2 parts of D. As 5+9+4+2=20, the total mixture contains 5/20 of A (5 parts out of 20), 9/20 of B, 4/20 of C, and 2/20 of D. If we divide all numbers by the total and multiply by 100, we have converted to ...

  7. Winning percentage - Wikipedia

    en.wikipedia.org/wiki/Winning_percentage

    For example, if a team's season record is 30 wins and 20 losses, the winning percentage would be 60% or 0.600: % = % If a team's season record is 30–15–5 (i.e. it has won thirty games, lost fifteen and tied five times), and if the five tie games are counted as 2 1 ⁄ 2 wins, then the team has an adjusted record of 32 1 ⁄ 2 wins, resulting in a 65% or .650 winning percentage for the ...

  8. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is ...

  9. Duty cycle - Wikipedia

    en.wikipedia.org/wiki/Duty_cycle

    Duty cycle. A duty cycle or power cycle is the fraction of one period in which a signal or system is active. [1][2][3] Duty cycle is commonly expressed as a percentage or a ratio. A period is the time it takes for a signal to complete an on-and-off cycle. As a formula, a duty cycle (%) may be expressed as: Equally, a duty cycle (ratio) may be ...