Represent the following mixed infinite decimal periodic fractions as common fractions:
$\frac{2^{- 2} + 2^{0}}{{(\frac{1}{2})}^{- 2} - 5 \cdot (- 2)^{- 2} + {(\frac{2}{3})}^{- 2}}$

Question

Represent the following mixed infinite decimal periodic fractions as common fractions-displaystyle- -2-3-2- - 27y-3-5- - left - left - frac-1-2- right -1-2- - 3 y-1-5- right -

Toppr Admin · Accepted Answer

-23-2-27y3-5-12-x2212-1-2-3y1-5-21-2-3-3y1-5-3-21-2-3y1-5-2-9y2-5-x2212-21-2-3y1-5

Represent the following mixed infinite decimal periodic fractions as common fractions:
$(2^{3 / 2} + 27 y^{3 / 5}) : ({(\frac{1}{2})}^{- 1 / 2} + 3 y^{1 / 5})$

$(2^{3 / 2} + 27 y^{3 / 5}) : ((\frac{1}{2})^{- 1 / 2} + 3 y^{1 / 5}) = \frac{(2^{1 / 2})^{3} + (3 y^{1 / 5})^{3}}{(2^{1 / 2} + 3 y^{1 / 5})} = 2 + 9 y^{2 / 5} - 2^{1 / 2} .3 y^{1 / 5}$

Represent the following mixed infinite decimal periodic fractions as common fractions:(23/2+27y3/5):((12)−1/2+3y1/5)

(23/2+27y3/5):((12)−1/2+3y1/5)=(21/2)3+(3y1/5)3(21/2+3y1/5)=2+9y2/5−21/2.3y1/5

Represent the following mixed infinite decimal periodic fractions as common fractions:
$(2^{3 / 2} + 27 y^{3 / 5}) : ({(\frac{1}{2})}^{- 1 / 2} + 3 y^{1 / 5})$

$(2^{3 / 2} + 27 y^{3 / 5}) : ((\frac{1}{2})^{- 1 / 2} + 3 y^{1 / 5}) = \frac{(2^{1 / 2})^{3} + (3 y^{1 / 5})^{3}}{(2^{1 / 2} + 3 y^{1 / 5})} = 2 + 9 y^{2 / 5} - 2^{1 / 2} .3 y^{1 / 5}$