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a) \(\dfrac{4}{7}+\dfrac{2}{8}=\dfrac{32}{56}+\dfrac{14}{56}=\dfrac{46}{56}=\dfrac{23}{28}\)
b) \(\dfrac{8}{6}-\dfrac{8}{24}=\dfrac{32}{24}-\dfrac{8}{24}=\dfrac{24}{24}=1\)
c) \(\dfrac{9}{28}\times\dfrac{14}{9}=\dfrac{126}{252}=\dfrac{1}{2}\)
d) \(\dfrac{7}{6}\div\dfrac{2}{3}=\dfrac{7}{6}\times\dfrac{3}{2}=\dfrac{21}{12}\)
1. \(\dfrac{4}{7}+\dfrac{2}{8}=\dfrac{32}{56}+\dfrac{14}{56}=\dfrac{32+14}{56}=\dfrac{46}{56}=\dfrac{23}{28}\)
2. \(\dfrac{8}{6}-\dfrac{8}{24}=\dfrac{32}{24}-\dfrac{8}{24}=\dfrac{32-8}{24}=\dfrac{24}{24}=1\)
3. \(\dfrac{9}{28}\text{×}\dfrac{14}{9}=\dfrac{9\text{×}14}{28\text{×}9}=\dfrac{126}{252}=\dfrac{7}{14}\)
4. \(\dfrac{7}{6}:\dfrac{2}{3}=\dfrac{7}{6}\text{×}\dfrac{3}{2}=\dfrac{7\text{×}3}{6\text{×}2}=\dfrac{21}{12}=\dfrac{7}{4}\)
a: \(=\dfrac{6}{24}\cdot\dfrac{8}{9}\cdot\dfrac{5}{10}=\dfrac{1}{8}\cdot\dfrac{8}{9}=\dfrac{1}{9}\)
b: \(=\dfrac{12}{18}\cdot\dfrac{14}{21}\cdot13=\dfrac{2}{3}\cdot\dfrac{2}{3}\cdot13=\dfrac{52}{9}\)
c: \(=\dfrac{2323}{4646}\cdot\dfrac{123123}{234234}=\dfrac{1}{2}\cdot\dfrac{123}{234}=\dfrac{41}{156}\)
a, = \(\frac{11}{21}\)x \(\left(\frac{7}{4}+\frac{5}{4}\right)\)
= \(\frac{11}{21}\)x 3
= \(\frac{33}{21}\)
b) = \(\left(\frac{23}{14}-\frac{9}{14}\right)\)x \(\frac{6}{13}\)
= 1 x \(\frac{6}{13}\)
= \(\frac{6}{13}\)
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\(\dfrac{11}{12}x\dfrac{6}{9}-\dfrac{3}{8}=\dfrac{66}{108}-\dfrac{3}{8}=\dfrac{17}{72}\)
\(\dfrac{5}{7}:\dfrac{9}{14}-\dfrac{17}{18}=\dfrac{70}{63}-\dfrac{17}{18}=\dfrac{1}{6}\)
\(\dfrac{11}{12}\) x \(\dfrac{6}{9}-\dfrac{3}{8}=\dfrac{11}{18}-\dfrac{3}{8}=\dfrac{88}{144}-\dfrac{54}{144}=\dfrac{34}{144}=\dfrac{17}{72}\)
\(\dfrac{5}{7}:\dfrac{9}{14}-\dfrac{17}{18}\)\(=\dfrac{5}{7}\) x \(\dfrac{14}{9}-\dfrac{17}{18}=\dfrac{10}{9}-\dfrac{17}{18}=\dfrac{20}{18}-\dfrac{17}{18}=\dfrac{3}{18}=\dfrac{1}{6}\)
= 3x2x28 + 3x6x14 + 3x8x11 - 3x2x4
= 3x 56 + 3x 84 + 3x88 - 3x8
=3x(56+84+88-8)
=3x220
=660
6 x 28 +18 x 14 +24 x 11 - 6 x 4
= 168 + 252 + 264 - 24
= 420 +264 -24
= 684 -24
= 660