Getal & Ruimte (13e editie) - 1 vwo
'Breuken herleiden'.
| 1 vwo | 6.6 Herleiden van breuken |
opgave 1Herleid tot één breuk. 1p a \({4 \over 2 x} - {6 \over 2 x}\) Optellen (1) 008u - Breuken herleiden - basis - 0ms - dynamic variables a \({4 \over 2 x} - {6 \over 2 x} = -{2 \over 2 x} = -{1 \over x}\) 1p 1p b \({6 \over p} + {8 \over 5 p}\) Optellen (2) 008v - Breuken herleiden - basis - 0ms - dynamic variables b \({6 \over p} + {8 \over 5 p} = {30 \over 5 p} + {8 \over 5 p} = {38 \over 5 p}\) 1p 1p c \({6 \over 9 a} - {5 \over 7 b}\) Optellen (3) 008w - Breuken herleiden - basis - 0ms - dynamic variables c \({6 \over 9 a} - {5 \over 7 b} = {42 b \over 63 a b} - {45 a \over 63 a b} = {42 b - 45 a \over 63 a b} = {14 b - 15 a \over 21 a b}\) 1p 1p d \(8 + {5 \over 9 a}\) Optellen (4) 008x - Breuken herleiden - basis - 0ms - dynamic variables d \(8 + {5 \over 9 a} = {8 \over 1} + {5 \over 9 a} = {72 a \over 9 a} + {5 \over 9 a} = {72 a + 5 \over 9 a}\) 1p opgave 2Herleid tot één breuk. 1p \({6 x \over y} - {2 \over 5 y}\) Optellen (6) 008z - Breuken herleiden - basis - 0ms - dynamic variables ○ \({6 x \over y} - {2 \over 5 y} = {30 x \over 5 y} - {2 \over 5 y} = {30 x - 2 \over 5 y}\) 1p opgave 3Herleid. 1p a \({8 a \over a}\) Vereenvoudigen (1) 00h5 - Breuken herleiden - basis - 0ms - dynamic variables a \({8 a \over a} = {8 \over 1} = 8\) 1p 1p b \({x \over 7 x}\) Vereenvoudigen (2) 00h6 - Breuken herleiden - basis - 0ms - dynamic variables b \({x \over 7 x} = {1 \over 7}\) 1p 1p c \({-15 x \over -18 x}\) Vereenvoudigen (3) 00h7 - Breuken herleiden - basis - 0ms - dynamic variables c \({-15 x \over -18 x} = \frac{5}{6}\) 1p 1p d \({24 p \over 3 p}\) Vereenvoudigen (4) 00h8 - Breuken herleiden - basis - 0ms - dynamic variables d \({24 p \over 3 p} = 8\) 1p opgave 4Herleid. 1p a \({18 a b \over -21 a c}\) Vereenvoudigen (5) 00h9 - Breuken herleiden - basis - 0ms - dynamic variables a \({18 a b \over -21 a c} = -{6 b \over 7 c}\) 1p 1p b \({4 y \over -14 x y}\) Vereenvoudigen (6) 00ha - Breuken herleiden - basis - 0ms - dynamic variables b \({4 y \over -14 x y} = -{2 \over 7 x}\) 1p 1p c \({12 a b c \over 4 b c}\) Vereenvoudigen (7) 00hb - Breuken herleiden - basis - 0ms - dynamic variables c \({12 a b c \over 4 b c} = 3 a\) 1p 1p d \({6 p q \over q} - {4 p r \over r}\) Vereenvoudigen (8) 00hc - Breuken herleiden - basis - 0ms - dynamic variables d \({6 p q \over q} - {4 p r \over r} = 6 p - 4 p = 2 p\) 1p |