a) $\frac53-\left(\frac{7}{12}-\frac23\right)+\frac14$
$=\frac53-\frac{7}{12}+\frac23+\frac14$
$=\left(\frac53+\frac23\right)+\left(\frac14-\frac{7}{12}\right)$
$=\frac73-\frac13=\frac63=2$
c) $\left(\frac12\right)^2:\frac38-2\frac14\left(-\frac{13}{14}\right)^0$
$=\frac14 \cdot \frac83 -\frac94\cdot 1$
$=\frac23-\frac94=-\frac{19}{12}$
d) $|\frac12-\frac56|-\frac{15}{48}:\frac38-\frac72$
$=|-\frac13|-\frac{5}{16}\cdot \frac83-\frac72$
$=\frac13-\frac56-\frac72$
$=\frac26-\frac56-\frac{21}{6}=-\frac{24}{6}=-4$
a)
\(\dfrac{5}{3}-\left(\dfrac{7}{12}-\dfrac{2}{3}\right)+\dfrac{1}{4}\)
= \(\dfrac{5}{3}-\left(\dfrac{7}{12}-\dfrac{8}{12}\right)+\dfrac{1}{4}\)
= \(\dfrac{5}{3}-\dfrac{-1}{12}+\dfrac{1}{4}\)
= \(\dfrac{20}{12}-\dfrac{-1}{12}+\dfrac{3}{12}\)
= \(\dfrac{24}{12}\) = 2
c) Số mũ ý cuối chx rõ ràng nhé
d) \(\left|\dfrac{1}{2}-\dfrac{5}{6}\right|-\dfrac{15}{48}:\dfrac{3}{8}-\dfrac{7}{2}\)
= \(\left|\dfrac{3}{6}-\dfrac{5}{6}\right|-\dfrac{5}{16}.\dfrac{8}{3}-\dfrac{7}{2}\)
= \(\dfrac{-2}{6}-\dfrac{5.1}{2.3}-\dfrac{7}{2}\)
= \(\dfrac{-2}{6}-\dfrac{5}{3}-\dfrac{7}{2}\)
= \(\dfrac{-2}{6}-\dfrac{10}{6}-\dfrac{21}{6}\)
= \(\dfrac{-33}{6}=\dfrac{-11}{2}\)
Lời giải:
a.
$=\frac{5}{3}-\frac{7}{12}+\frac{2}{3}+\frac{1}{4}$
$=\frac{5}{3}+\frac{2}{3}+\frac{1}{4}-\frac{7}{12}$
$=\frac{7}{3}+\frac{1}{4}-\frac{7}{12}=\frac{31}{12}-\frac{7}{12}=\frac{24}{12}=2$
c.
$=\frac{1}{4}.\frac{8}{3}-\frac{9}{4}.1$
$=\frac{2}{3}-\frac{9}{4}=\frac{-19}{12}$
d.
\(=|\frac{-1}{3}|-\frac{5}{16}.\frac{8}{3}-\frac{7}{2}\\ =\frac{1}{3}-\frac{5}{6}-\frac{7}{2}\\ =\frac{-1}{2}-\frac{7}{2}=-4\)
