a) \(\dfrac{11}{24}-\dfrac{5}{41}+\dfrac{13}{24}+0,5-\dfrac{36}{41}\)
\(=\left(\dfrac{11}{24}+\dfrac{13}{24}\right)-\left(\dfrac{5}{24}+\dfrac{36}{41}\right)+0,5\)
\(=\dfrac{24}{24}-\dfrac{41}{41}+0,5\)
\(=1-1+0,5\)
\(=0,5\)
b) \(\dfrac{1}{2}\cdot\dfrac{3}{4}+\dfrac{1}{2}\cdot\dfrac{1}{4}+\dfrac{1}{2}\)
\(=\dfrac{1}{2}\cdot\left(\dfrac{3}{4}+\dfrac{1}{4}+1\right)\)
\(=\dfrac{1}{2}\cdot\left(1+1\right)\)
\(=\dfrac{1}{2}\cdot2\)
\(=1\)
a: =11/24+13/24-5/41-36/41+1/2
=1-1+1/2
=1/2
b: \(=\dfrac{1}{2}\left(\dfrac{3}{4}+\dfrac{1}{4}+1\right)=\dfrac{1}{2}\cdot2=1\)
`a, 11/24 - 5/41 +13/24 +0,5 - 36/41`
`= (11/24 +13/24 )+(-5/41 - 36/41) +1/2`
`= 24/24 +(-41/41)+1/2`
`= 1+(-1)+1/2`
`=0+1/2`
`=1/2`
__
`1/2 . 3/4 +1/2 . 1/4 +1/2`
`=1/2 . 3/4 +1/2 . 1/4 +1/2 . 1`
`= 1/2 .(3/4 +1/4 +1)`
`= 1/2 . (3/4 + 1/4 +4/4)`
`= 1/2 . 2`
`= 1`
