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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. โ 1 / 8 โ = โ 1 / 2 3 โ .
For example, โ 1 / 4 โ , โ 5 / 6 โ , and โ −101 / 100 โ are all irreducible fractions. On the other hand, โ 2 / 4 โ is reducible since it is equal in value to โ 1 / 2 โ , and the numerator of โ 1 / 2 โ is less than the numerator of โ 2 / 4 โ . A fraction that is reducible can be reduced by dividing both the numerator ...
For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...
Word problem from the Lฤซlฤvatฤซ (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
While not normally taught as a standard method for multiplying fractions, the grid method can readily be applied to simple cases where it is easier to find a product by breaking it down. For example, the calculation 2 โ 1 / 2 โ × 1 โ 1 / 2 โ can be set out using the grid method
A rational fraction is an algebraic fraction whose numerator and denominator are both polynomials. Thus 3 x x 2 + 2 x − 3 {\displaystyle {\frac {3x}{x^{2}+2x-3}}} is a rational fraction, but not x + 2 x 2 − 3 , {\displaystyle {\frac {\sqrt {x+2}}{x^{2}-3}},} because the numerator contains a square root function.
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