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Algebraic Fractions Operations
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Algebraic Fractions Operations
Simplify each answer fully. Show your working, and state any restrictions on the variable where needed.
Adding and subtracting
1.Simplify: 3x/4 + 5/8.
2.Work out: 5a/6 − 1/4.
3.Simplify: 2y/9 + y/6.
4.Simplify: 7m/10 − 3m/5.
5.Simplify: (2p + 1)/3 + (p − 4)/6.
Multiplying and dividing
6.Simplify: (3x/5) × (10/9).
7.Calculate and simplify: (4a/7) ÷ (2/3).
8.Simplify: (5b/12) × (18/25).
9.Simplify: (7c/8) ÷ (21/16).
10.Simplify completely: (6x/11) × (22/(9x)), where x ≠ 0.
11.Simplify: (3r + 6)/8 × 4/9.
Check your understanding
12.Let x = 3. Which expression has the greatest value?
- x/3 + x/6
- x/3 × x/6
- x/3 ÷ x/6
- x/3 − x/6
13.True or false: (2u/5) ÷ (4/15) simplifies to 3u/2.
TrueFalse
14.Simplify: (5k/12 − k/8) ÷ (1/6).
3 printable pages
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