What is the smallest positive difference between two fractions if the denominators of two fractions are 2 and 3?

Mathematics

2 answers:

weqwewe [10]3 years ago

4 0

Answer:

1/6

Step-by-step explanation:

1/2-1/3=1/6

puteri [66]3 years ago

3 0

Answer:

0.667 is greater than 0.5. Therefore, 2/3 is greater than 1/2 and the answer to the question "Is 2/3 greater than 1/2?" is yes. Note: When comparing fractions such as 2/3 and 1/2, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

Step-by-step explanation:

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Yuki888 [10]

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4 0

3 years ago

Simplify the given expression below 4/3-2i

ANTONII [103]

So-called simplifying, really means, "rationalizing the denominator", which is another way of saying, "getting rid of that pesky radical in the bottom"

$\bf \cfrac{4}{3-2i}\cdot \cfrac{3+2i}{3+2i}\impliedby \textit{multiplying by the conjugate of the bottom}
\\\\\\
\cfrac{4(3+2i)}{(3-2i)(3+2i)}\implies \cfrac{4(3+2i)}{3^2-(2i)^2}\implies \cfrac{4(3+2i)}{3^2-(4i^2)}\\\\
-------------------------------\\\\
recall\qquad i^2=-1\\\\
-------------------------------\\\\
\cfrac{4(3+2i)}{3^2-(4\cdot -1)}\implies \cfrac{4(3+2i)}{9+4}\implies \cfrac{12+8i}{13}\implies \cfrac{12}{13}+\cfrac{8}{13}i$