Herleid tot één breuk.
1p
\({3 \over x} : {6 \over y}\)
○
\({3 \over x} : {6 \over y} = {3 \over x} ⋅ {y \over 6} = {3 y \over 6 x} = {y \over 2 x}\)
1p
Herleid tot één breuk.
1p
\({2 \over 9} : x\)
○
\({2 \over 9} : x = {2 \over 9} : {x \over 1} = {2 \over 9} ⋅ {1 \over x} = {2 \over 9 x}\)
1p
Herleid tot één breuk.
1p
\(-{9 \over 5} : {a - 4 b \over b}\)
○
\(-{9 \over 5} : {a - 4 b \over b} = -{9 \over 5} ⋅ {b \over a - 4 b} = -{9 b \over 5 (a - 4 b)} = -{9 b \over 5 a - 20 b}\)
1p
Herleid tot één breuk.
1p
\({9 \over 7 p} - {6 \over 7 p}\)
○
\({9 \over 7 p} - {6 \over 7 p} = {3 \over 7 p}\)
1p
Herleid tot één breuk.
1p
\({8 \over p} + {5 \over 6 p}\)
○
\({8 \over p} + {5 \over 6 p} = {48 \over 6 p} + {5 \over 6 p} = {53 \over 6 p}\)
1p
Herleid tot één breuk.
1p
\({5 \over 9 x} - {8 \over 6 y}\)
○
\({5 \over 9 x} - {8 \over 6 y} = {10 y \over 18 x y} - {24 x \over 18 x y} = {10 y - 24 x \over 18 x y} = {5 y - 12 x \over 9 x y}\)
1p
Herleid tot één breuk.
1p
\(4 - {8 \over 9 x}\)
○
\(4 - {8 \over 9 x} = {4 \over 1} - {8 \over 9 x} = {36 x \over 9 x} - {8 \over 9 x} = {36 x - 8 \over 9 x}\)
1p
Herleid tot één breuk.
1p
\(5 a - {7 \over 2 a}\)
○
\(5 a - {7 \over 2 a} = {5 a \over 1} ⋅ {2 a \over 2 a} - {7 \over 2 a} = {10 a^{2} \over 2 a} - {7 \over 2 a} = {10 a^{2} - 7 \over 2 a}\)
1p
Herleid tot één breuk.
1p
\({5 x \over y} - {9 \over 7 y}\)
○
\({5 x \over y} - {9 \over 7 y} = {35 x \over 7 y} - {9 \over 7 y} = {35 x - 9 \over 7 y}\)
1p
Herleid tot één breuk.
1p
\({9 q \over 6 p} + {8 p \over 5 q}\)
○
\({9 q \over 6 p} + {8 p \over 5 q} = {45 q^{2} \over 30 p q} + {48 p^{2} \over 30 p q} = {48 p^{2} + 45 q^{2} \over 30 p q} = {16 p^{2} + 15 q^{2} \over 10 p q}\)
1p
Herleid tot één breuk.
1p
\({2 a \over 3} + {a - 5 \over 7}\)
○
\({2 a \over 3} + {a - 5 \over 7} = {14 a \over 21} + {3 (a - 5) \over 21} = {14 a + 3 (a - 5) \over 21} = {17 a - 15 \over 21}\)
1p
Herleid tot één breuk.
1p
\({-8 a + 4 \over 6 a - 5} - 1\)
○
\({-8 a + 4 \over 6 a - 5} - 1 = {-8 a + 4 \over 6 a - 5} - {1 (6 a - 5) \over 6 a - 5} = {-8 a + 4 - 1 (6 a - 5) \over 6 a - 5} = {-8 a + 4 - 6 a + 5 \over 6 a - 5} = {-14 a + 9 \over 6 a - 5}\)
1p
Deel uit.
1p
\({4 x^{2} + 6 x + 20 \over 2 x}\)
○
\({4 x^{2} + 6 x + 20 \over 2 x} = {4 x^{2} \over 2 x} + {6 x \over 2 x} + {20 \over 2 x} = 2 x + 3 + {10 \over x}\)
1p
Deel uit.
1p
\({p^{2} - 8 p - 5 \over 9 p^{2}}\)
○
\({p^{2} - 8 p - 5 \over 9 p^{2}} = {p^{2} \over 9 p^{2}} - {8 p \over 9 p^{2}} - {5 \over 9 p^{2}} = \frac{1}{9} - {8 \over 9 p} - {5 \over 9 p^{2}}\)
1p
Herleid.
1p
\({2 p \over p}\)
○
\({2 p \over p} = {2 \over 1} = 2\)
1p
Herleid.
1p
\({x \over 4 x}\)
○
\({x \over 4 x} = {1 \over 4}\)
1p
Herleid.
1p
\({-12 p \over -15 p}\)
○
\({-12 p \over -15 p} = \frac{4}{5}\)
1p
Herleid.
1p
\({-8 x \over 2 x}\)
○
\({-8 x \over 2 x} = -4\)
1p
Herleid.
1p
\({6 p q \over -21 p r}\)
○
\({6 p q \over -21 p r} = -{2 q \over 7 r}\)
1p
Herleid.
1p
\({20 q \over 28 p q}\)
○
\({20 q \over 28 p q} = {5 \over 7 p}\)
1p
Herleid.
1p
\({27 a b c \over -3 b c}\)
○
\({27 a b c \over -3 b c} = -9 a\)
1p
Herleid.
1p
\({6 x y \over y} - {3 x z \over z}\)
○
\({6 x y \over y} - {3 x z \over z} = 6 x - 3 x = 3 x\)
1p
Herleid tot één breuk.
1p
\({6 \over x} ⋅ -{7 \over y}\)
○
\({6 \over x} ⋅ -{7 \over y} = -{42 \over x y}\)
1p
Herleid tot één breuk.
1p
\({a \over 5} ⋅ {6 \over b}\)
○
\({a \over 5} ⋅ {6 \over b} = {6 a \over 5 b}\)
1p
Herleid tot één breuk.
1p
\(-{7 \over 9} ⋅ p\)
○
\(-{7 \over 9} ⋅ p = -{7 p \over 9}\)
1p
Herleid tot één breuk.
1p
\({7 y \over x} ⋅ {x + 6 \over 8}\)
○
\({7 y \over x} ⋅ {x + 6 \over 8} = {7 y (x + 6) \over 8 x} = {7 x y + 42 y \over 8 x}\)
1p