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Two fractions a / b and c / d are equal or equivalent if and only if ad = bc.) For example, 1 / 4 , 5 / 6 , and −101 / 100 are all irreducible fractions. On the other hand, 2 / 4 is reducible since it is equal in value to 1 / 2 , and the numerator of 1 / 2 is less than the numerator ...
Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two , e.g. 1 / 8 = 1 / 2 3 .
The pot odds in this situation are 30:10, or 3:1 when simplified. To get the percentage, 1 is divided by the sum of 3 and 1, giving 0.25, or 25% or 1/(3+1). To convert any percentage or fraction to the equivalent odds, the numerator is subtracted from the denominator. The difference is compared to the numerator as a ratio. For example, to ...
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
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The United States military said Tuesday its forces had "conducted multiple precision strikes" that hit Houthi targets in Yemen's capital. The targets included a Houthi command and control facility ...
In general, if an increase of x percent is followed by a decrease of x percent, and the initial amount was p, the final amount is p (1 + 0.01 x)(1 − 0.01 x) = p (1 − (0.01 x) 2); hence the net change is an overall decrease by x percent of x percent (the square of the original percent change when expressed as a decimal number).
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