Question

\(\dfrac{6}{5}.\sqrt{\dfrac{25}{16}}-\left(\dfrac{3^{ }}{4}\right)^2:0,25\)

HELP ME!

Answer 1

\(\dfrac{6}{5}\cdot\sqrt{\dfrac{25}{16}}-\left(\dfrac{3}{4}\right)^2:0,25\\ =\dfrac{6}{5}\cdot\dfrac{5}{4}-\dfrac{9}{16}\cdot4\\ =\dfrac{3}{2}-\dfrac{9}{4}\\ =-\dfrac{3}{4}\)

Answer 2

\(\dfrac{6}{5}\cdot\sqrt{\dfrac{25}{16}}-\left(\dfrac{3}{4}\right)^2:0,25\)

\(=\dfrac{6}{5}\cdot\dfrac{5}{4}-\dfrac{9}{16}:\dfrac{1}{4}\)

\(=\dfrac{6\cdot5}{5\cdot4}-\dfrac{9\cdot4}{16}\)

\(=\dfrac{6}{4}-\dfrac{9}{4}\)

\(=\dfrac{3}{4}\)

Answer 3

\(\dfrac{5}{6}.\sqrt{\dfrac{25}{16}}-\left(\dfrac{3}{4}\right)^2:0,25\\ =\dfrac{5}{6}.\sqrt{\dfrac{5^2}{4^2}}-\dfrac{9}{16}:\dfrac{1}{4}\\ =\dfrac{5}{6}.\dfrac{5}{4}-\dfrac{9}{16}.4\\ =\dfrac{25}{24}-\dfrac{9}{4}=\dfrac{25-9.6}{24}=\dfrac{-39}{24}=-\dfrac{13}{8}\)

Answer 4

-3/4