Herleid tot één breuk.
1p
\({2 \over p} : {8 \over q}\)
○
\({2 \over p} : {8 \over q} = {2 \over p} ⋅ {q \over 8} = {2 q \over 8 p} = {q \over 4 p}\)
1p
Herleid tot één breuk.
1p
\(-{3 \over 8} : a\)
○
\(-{3 \over 8} : a = -{3 \over 8} : {a \over 1} = -{3 \over 8} ⋅ {1 \over a} = -{3 \over 8 a}\)
1p
Herleid tot één breuk.
1p
\({1 \over 4} : {x - 2 y \over y}\)
○
\({1 \over 4} : {x - 2 y \over y} = {1 \over 4} ⋅ {y \over x - 2 y} = {y \over 4 (x - 2 y)} = {y \over 4 x - 8 y}\)
1p
Herleid tot één breuk.
1p
\({6 \over 9 x} - {5 \over 9 x}\)
○
\({6 \over 9 x} - {5 \over 9 x} = {1 \over 9 x}\)
1p
Herleid tot één breuk.
1p
\({4 \over x} - {6 \over 8 x}\)
○
\({4 \over x} - {6 \over 8 x} = {32 \over 8 x} - {6 \over 8 x} = {26 \over 8 x} = {13 \over 4 x}\)
1p
Herleid tot één breuk.
1p
\({7 \over 4 x} + {3 \over 2 y}\)
○
\({7 \over 4 x} + {3 \over 2 y} = {7 y \over 4 x y} + {6 x \over 4 x y} = {7 y + 6 x \over 4 x y}\)
1p
Herleid tot één breuk.
1p
\(3 - {2 \over 7 p}\)
○
\(3 - {2 \over 7 p} = {3 \over 1} - {2 \over 7 p} = {21 p \over 7 p} - {2 \over 7 p} = {21 p - 2 \over 7 p}\)
1p
Herleid tot één breuk.
1p
\(4 x + {2 \over 7 x}\)
○
\(4 x + {2 \over 7 x} = {4 x \over 1} ⋅ {7 x \over 7 x} + {2 \over 7 x} = {28 x^{2} \over 7 x} + {2 \over 7 x} = {28 x^{2} + 2 \over 7 x}\)
1p
Herleid tot één breuk.
1p
\({9 x \over y} + {5 \over 7 y}\)
○
\({9 x \over y} + {5 \over 7 y} = {63 x \over 7 y} + {5 \over 7 y} = {63 x + 5 \over 7 y}\)
1p
Herleid tot één breuk.
1p
\({6 b \over 8 a} + {7 a \over 3 b}\)
○
\({6 b \over 8 a} + {7 a \over 3 b} = {18 b^{2} \over 24 a b} + {56 a^{2} \over 24 a b} = {56 a^{2} + 18 b^{2} \over 24 a b} = {28 a^{2} + 9 b^{2} \over 12 a b}\)
1p
Herleid tot één breuk.
1p
\({2 x \over 5} + {x - 7 \over 3}\)
○
\({2 x \over 5} + {x - 7 \over 3} = {6 x \over 15} + {5 (x - 7) \over 15} = {6 x + 5 (x - 7) \over 15} = {11 x - 35 \over 15}\)
1p
Herleid tot één breuk.
1p
\({4 p - 2 \over -7 p - 9} - 5\)
○
\({4 p - 2 \over -7 p - 9} - 5 = {4 p - 2 \over -7 p - 9} + {-5 (-7 p - 9) \over -7 p - 9} = {4 p - 2 - 5 (-7 p - 9) \over -7 p - 9} = {4 p - 2 + 35 p + 45 \over -7 p - 9} = {39 p + 43 \over -7 p - 9}\)
1p
Deel uit.
1p
\({2 x^{2} + x - 30 \over x}\)
○
\({2 x^{2} + x - 30 \over x} = {2 x^{2} \over x} + {x \over x} - {30 \over x} = 2 x + 1 - {30 \over x}\)
1p
Deel uit.
1p
\({6 a^{2} - 9 a + 1 \over 8 a^{2}}\)
○
\({6 a^{2} - 9 a + 1 \over 8 a^{2}} = {6 a^{2} \over 8 a^{2}} - {9 a \over 8 a^{2}} + {1 \over 8 a^{2}} = \frac{3}{4} - {9 \over 8 a} + {1 \over 8 a^{2}}\)
1p
Herleid.
1p
\({6 p \over p}\)
○
\({6 p \over p} = {6 \over 1} = 6\)
1p
Herleid.
1p
\({a \over 9 a}\)
○
\({a \over 9 a} = {1 \over 9}\)
1p
Herleid.
1p
\({9 p \over 21 p}\)
○
\({9 p \over 21 p} = \frac{3}{7}\)
1p
Herleid.
1p
\({-6 x \over 2 x}\)
○
\({-6 x \over 2 x} = -3\)
1p
Herleid.
1p
\({-24 x y \over 28 x z}\)
○
\({-24 x y \over 28 x z} = -{6 y \over 7 z}\)
1p
Herleid.
1p
\({12 y \over -20 x y}\)
○
\({12 y \over -20 x y} = -{3 \over 5 x}\)
1p
Herleid.
1p
\({6 a b c \over -3 b c}\)
○
\({6 a b c \over -3 b c} = -2 a\)
1p
Herleid.
1p
\({4 a b \over b} + {3 a c \over c}\)
○
\({4 a b \over b} + {3 a c \over c} = 4 a + 3 a = 7 a\)
1p
Herleid tot één breuk.
1p
\({7 \over x} ⋅ {8 \over y}\)
○
\({7 \over x} ⋅ {8 \over y} = {56 \over x y}\)
1p
Herleid tot één breuk.
1p
\({a \over 3} ⋅ {4 \over b}\)
○
\({a \over 3} ⋅ {4 \over b} = {4 a \over 3 b}\)
1p
Herleid tot één breuk.
1p
\(-{5 \over 3} ⋅ p\)
○
\(-{5 \over 3} ⋅ p = -{5 p \over 3}\)
1p
Herleid tot één breuk.
1p
\({3 y \over x} ⋅ {x + 2 \over 8}\)
○
\({3 y \over x} ⋅ {x + 2 \over 8} = {3 y (x + 2) \over 8 x} = {3 x y + 6 y \over 8 x}\)
1p