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mathlearn
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$\sqrt{5} * \left(\frac{5}{4}\right)^{\!{\frac{1}{2}}}$
Many Thanks :)
Many Thanks :)
Hint: \(\displaystyle x^{1/2} = \sqrt{x}\)mathlearn said:$\sqrt{5} * \left(\frac{5}{4}\right)^{\!{\frac{1}{2}}}$
Many Thanks :)
topsquark said:Hint: \(\displaystyle x^{1/2} = \sqrt{x}\)
Can you finish from here?
-Dan
greg1313 said:$$\frac{5^{1/2}\cdot5^{1/2}}{2}$$
Does that help? (See topsquark's post).
mathlearn said:According to topsquark $\displaystyle x^{1/2} = \sqrt{x}$
$$\frac{\sqrt{5}\cdot\sqrt{5}}{2}=\frac{\sqrt{5}^2}{2}=\frac{5}{2}$$
Correct?
Many THanks :)
In order to find the common denominator, you need to first identify the lowest common multiple (LCM) of the denominators of the fractions. This can be done by listing out the multiples of each denominator and finding the smallest number that appears in both lists. Once you have the LCM, you can convert each fraction to an equivalent one with the LCM as the denominator.
Yes, you can simplify fractions before solving them. This can make the calculations easier and the final answer simpler. To simplify a fraction, divide both the numerator and denominator by their greatest common factor (GCF).
The order of operations when solving fractions is the same as regular arithmetic. First, simplify any fractions that can be simplified, then perform any multiplication or division in the problem, and finally add or subtract as necessary.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator, then add the numerator. The result becomes the new numerator, and the denominator stays the same. For example, to convert 2 1/4 to an improper fraction, you would do (2 x 4) + 1 = 9, so the improper fraction would be 9/4.
Yes, when adding or subtracting fractions, the denominators must be the same. This is because fractions with different denominators cannot be added or subtracted without first finding a common denominator. However, when multiplying or dividing fractions, it is not necessary to have the same denominators.