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The lowest common denominator of a set of fractions is the lowest number that is a multiple of all the denominators: their lowest common multiple.The product of the denominators is always a common denominator, as in:
In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1.
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:
The 50/30/20 rule, or balanced money formula, requires you to spend 50% of your income on needs, 30% on wants, and 20% on savings. How the 50/30/20 budgeting rule works—and can help simplifying ...
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6 1 2 1 1 −1 4 5 9. and would be written in modern notation as 6 1 / 4 , 1 1 / 5 , and 2 − 1 / 9 (i.e., 1 8 / 9 ). The horizontal fraction bar is first attested in the work of Al-Hassār (fl. 1200), [35] a Muslim mathematician from Fez, Morocco, who specialized in Islamic inheritance jurisprudence.
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For example 6.022 × 10 23 is written as 6.022E23 or 6.022e23, and 1.6 × 10 −35 is written as 1.6E-35 or 1.6e-35. While common in computer output, this abbreviated version of scientific notation is discouraged for published documents by some style guides. [2] [3]