Question

5/2 - 1/2 + 2/3                             1/4 + 2/3 x 1/5

Answer 1

`5/2 - 1/2 + 2/3`

`=4/2 + 2/3`

`=2+ 2/3`

`=6/3 + 2/3`

`=8/3`

`1/4 + 2/3 xx 1/5`

`=1/4 + 2/15`

`=15/60 + 8/60`

`=23/60`

Answer 2

=2+2/3

=2\(\dfrac{2}{3}\)

=1/4+\(\dfrac{2}{15}\)

=\(\dfrac{23}{60}\)

Answer 3

\(\dfrac{5}{2}-\dfrac{1}{2}+\dfrac{2}{3}=\left(\dfrac{5}{2}-\dfrac{1}{2}\right)+\dfrac{2}{3}=\left(\dfrac{5-1}{2}\right)+\dfrac{2}{3}=\dfrac{4}{2}+\dfrac{2}{3}=\dfrac{4\times3}{2\times3}+\dfrac{2\times2}{3\times2}=\dfrac{12}{6}+\dfrac{4}{6}=\dfrac{12+4}{6}=\dfrac{16}{6}=\dfrac{8}{3}\\ \dfrac{1}{4}+\dfrac{2}{3}\times\dfrac{1}{5}=\dfrac{1}{4}+\left(\dfrac{2}{3}\times\dfrac{1}{5}\right)=\dfrac{1}{4}+\left(\dfrac{2\times1}{3\times5}\right)=\dfrac{1}{4}+\dfrac{2}{15}=\dfrac{1\times15}{4\times15}+\dfrac{2\times4}{15\times4}=\dfrac{15}{60}+\dfrac{8}{60}=\dfrac{15+8}{60}=\dfrac{23}{60}.\)

Answer 4

\(\dfrac{5}{2}-\dfrac{1}{2}+\dfrac{2}{3}=\dfrac{15-3+4}{6}=\dfrac{16}{6}=\dfrac{8}{3}\)

\(\dfrac{1}{4}+\dfrac{2}{3}\times\dfrac{1}{5}=\dfrac{1}{4}+\dfrac{2}{15}=\dfrac{15}{60}+\dfrac{8}{60}=\dfrac{15+8}{60}=\dfrac{23}{60}\)