Question

Вычислите значение выражения |x| : |y| если:
a) x=-3 2/3, y=4 2/5
b) x=7,14, y=-0,07

Answer 1

$\displaystyle a) \quad x=-3\frac{2}3, \quad y=4\frac{2}5\\\\|x|+|y|=\bigg|-3\frac{2}3\bigg|+\bigg|4\frac{2}5\bigg|=3\frac{2}3+4\frac{2}5=\frac{3\cdot3+2}{3}+\frac{4\cdot5+2}{5}=\frac{11}{3}+\frac{22}{5}=\\\\\\=\frac{11\cdot5+22\cdot3}{3\cdot5}=\frac{55+66}{15}=\frac{121}{15}=\boxed{8\frac{1}{15}}\\\\\\b)\quad x=7,14\,,\quad y=-0,07\\\\\\|x|+|y|=|7,14|+|-0,07|=7,14+0,07=\boxed{7,21}$