Answer:
1. 5 1/3 + 2/5
5×3+1/3 + 2/5
16/3 + 2/5
16×5/3×5 + 2×3/5×3
80/15 + 6/15
2. 1 11/12 + 5/6
1×12+11/12 + 5/6
23/12 + 5×2/6×2
23/12 + 10/12
33/12 ÷ 3/3
3. 1/5 + 2 7/10
1/5 + 2×10+7/10
1×2/5×2 + 27/10
2/10 + 27/10
4. 1/3 + 2 1/5
1/3 + 2×5+1/5
1/3 + 11/5
1×5/3×5 + 11×3/5×3
5/15 + 33/15
5. 2 7/10 + 3/4
2×10+7/10 + 3/4
27/10 + 3/4
27×2/10×2 + 3×5/4×5
54/20 + 15/20
6. 3 2/3 + 2/5
2×3+2/3 + 2/5
8/3 + 2/5
8×5/3×5 + 2×3/5×3
40/15 + 6/15
7. 6 1/4 + 3/5
6×4+1/4 + 3/5
25/4 + 3/5
25×5/4×5 + 3×4/5×4
125/20 + 12/20
8. 3 2/3 + 7/8
3×3+2/3 + 7/8
11/3 + 7/8
11×8/3×8 + 7×3/8×3
88/24 + 21/24
9. 5/6 + 4 1/5
5/6 + 4×5+1/5
5/6 + 21/5
5×5+6×5 + 21×6/5×6
25/30 + 126/30
10. 3 9/4 + 3/5
3×4+9/4 + 3/5
21/4 + 3/5
21×5/4×5 + 3×4/5×4
105/20 + 12/20
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Answers & Comments
Answer:
1. 5 1/3 + 2/5
5×3+1/3 + 2/5
16/3 + 2/5
16×5/3×5 + 2×3/5×3
80/15 + 6/15
= 86/15 or 5 11/15
2. 1 11/12 + 5/6
1×12+11/12 + 5/6
23/12 + 5×2/6×2
23/12 + 10/12
33/12 ÷ 3/3
= 11/4 or 2 3/4
3. 1/5 + 2 7/10
1/5 + 2×10+7/10
1×2/5×2 + 27/10
2/10 + 27/10
= 29/10 or 2 9/10
4. 1/3 + 2 1/5
1/3 + 2×5+1/5
1/3 + 11/5
1×5/3×5 + 11×3/5×3
5/15 + 33/15
= 38/15 or 2 8/15
5. 2 7/10 + 3/4
2×10+7/10 + 3/4
27/10 + 3/4
27×2/10×2 + 3×5/4×5
54/20 + 15/20
= 69/20 or 3 9/20
6. 3 2/3 + 2/5
2×3+2/3 + 2/5
8/3 + 2/5
8×5/3×5 + 2×3/5×3
40/15 + 6/15
= 46/15 or 3 1/15
7. 6 1/4 + 3/5
6×4+1/4 + 3/5
25/4 + 3/5
25×5/4×5 + 3×4/5×4
125/20 + 12/20
= 137/20 or 6 17/20
8. 3 2/3 + 7/8
3×3+2/3 + 7/8
11/3 + 7/8
11×8/3×8 + 7×3/8×3
88/24 + 21/24
= 109/24 or 4 13/24
9. 5/6 + 4 1/5
5/6 + 4×5+1/5
5/6 + 21/5
5×5+6×5 + 21×6/5×6
25/30 + 126/30
= 151/30 or 5 1/30
10. 3 9/4 + 3/5
3×4+9/4 + 3/5
21/4 + 3/5
21×5/4×5 + 3×4/5×4
105/20 + 12/20
= 117/20 or 5 17/20