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Learn to simplify fractions and verify results with practical examples. Check how to express complex fractions and confirm equality. Improve your fraction skills now!
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1. Express the following as a single fraction: (i)
1. Express the following as a single fraction: (ii)
1. Express the following as a single fraction: (iii)
1. Express the following as a single fraction: (iv)
1. Express the following as a single fraction: (v)
1. Express the following as a single fraction: (vi)
1. Express the following as a single fraction: (vii)
1. Express the following as a single fraction: (viii)
1. Express the following as a single fraction: (ix)
2. Express the following as a single fraction: (i)
2. Express the following as a single fraction: (ii)
2. Express the following as a single fraction: (iii)
2. Express the following as a single fraction: (iv)
2. Express the following as a single fraction: (v)
2. Express the following as a single fraction: (vi)
2. Express the following as a single fraction: (vii)
2. Express the following as a single fraction: (viii)
2. Express the following as a single fraction: (ix)
3. Show that simplifies to
4. Show that simplifies to
5. Express the following as a single fraction: (i)
5. Express the following as a single fraction: (ii)
5. Express the following as a single fraction: (iii)
6. Show that simplifies to
7. Show that simplifies to
8. Express the following as a single fraction: (i)
8. Express the following as a single fraction: (ii)
8. Express the following as a single fraction: (iii)
8. Express the following as a single fraction: (iv)
8. Express the following as a single fraction: (v)
8. Express the following as a single fraction: (vi)
9. Express as a single fraction and verify your answer for x = 1.
9. Express as a single fraction and verify your answer for x = 1. Let x = 1 in the original expression: Let x = 1 in the single fraction: The value of the expression is 6 in each case. Therefore, we have verified that the original expression and the single fraction are equal.
10. Express as a single fraction and verify your answer for x = 2.
10. Express as a single fraction and verify your answer for x = 2. Let x = 2 in the original expression: Let x = 2 in the single fraction: The value of the expression is the same in each case. Therefore, we have verified that the original expression and the single fraction are equal.