Learning task 3: Perform the indicated operations. Write your answer in your notebook.
Answer:
1. 2 1/4 + 3 1/2 – 2 1/3
2×4+1/4 + 3×2+1/2 – 2×3+1/3
9/4 + 7/2 – 7/3
9×3/4×3 + 7×6/2×6 – 7×4/3×4
27/12 + 42/12 – 28/12
69/12 – 28/12
= 41/12 or 3 5/12
2. 3 2/5 – 3/4 + 5 1/2
3×5+2/5 – 3/4 + 5×2+1/2
17/5 – 3/4 + 11/2
17×4/5×4 – 3×5/4×5 + 11×10/2×10
68/20 – 15/20 + 110/20
53/20 + 110/20
= 163/20 or 8 3/20
3. 2/5 + 6 3/7 – 2 2/3
2/5 + 6×7+3/7 – 2×3+2/3
2/5 + 45/7 – 8/3
2×21/5×21 + 45×15/7×15 – 8×35/3×35
42/105 + 675/105 – 280/105
717/105 – 280/105
= 437/105 or 4 17/105
4. 2 4/5 + 7 1/2 – 1 3/4
2×5+4/5 + 7×2+1/2 – 1×4+3/4
14/5 + 15/2 – 7/4
14×4/5×4 + 15/10/2×10 – 7×5/4×5
56/20 + 150/20 – 35/20
206/20 – 35/20
= 171/20 or 8 11/20
5. 6 2/5 + 3 1/8 + 2/3
6×5+2/5 + 3×8+1/8 + 2/3
32/5 + 25/8 + 2/3
32×24/5×24 + 25×15/8×15 + 2×40/3×40
768/120 + 375/120 + 80/120
1143/120 + 80/120
= 1223/120 or 10 23/120
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