50 005 — (1 534 + 827) — 1 005 = 46 639
1) 1 534 + 827 = 2361
2) 50 005 — 2361 = 47 644
3) 47 644 - 1 005 = 46 639
706 250 — (50 000 — 2 341) + 55 559 = 714 150
1) 50 000 — 2 341 = 47 659
2) 706 250 — 47 659 = 658 591
3) 658 591 + 55 559 = 714 150
105 000 + 78 000 – (350 + 25 600) = 157 050
1) 350 + 25 600 = 25 950
2) 105 000 + 78 000 = 183 000
3) 183 000 - 25 950 = 157 050
905 340 – (45 670 — 3 007) + 50 002 = 912 679
1) 45 670 — 3 007 = 42 663
2) 905 340 – 42 663 = 862 677
3) 862 677 + 50 002 = 912 679
Пошаговое объяснение:
1. 3 1/3
10
2 2/5
2 7/8
2. 10 1/16 × x
3. 1 13/30
4. 12
1.
1. 2 2/15 = 32/15
1 9/16 = 25/16
32/15 × 25/16 = (32×25)/(15×16) = (4×4×2×5×5)/(3×5×4×4) = (2×5)/3 = 10/3 = 3 1/3
2. 5/14 × 28 = (5×28)/14 = (5×2×14)/14 = 5×2 = 10
3. 5 3/5 = 28/5
28/5 × 3/7 = (28×3)/(5×7) = (4×7×3)/(5×7) = (4×3)/5 = 12/5 = 2 2/5
4. 1 7/8 = 15/8
1 1/15 = 16/15
1 7/16 = 23/16
15/8 × 16/15 × 23/16 = (15×16×23)/(8×15×16) = 23/8 = 2 7/8
2. 2. 8 13/16 = 141/16
4 7/12 = 55/12
5 5/6 = 35/6
141/16 x - 55/12 x + 35/6 x = x × (141/16 - 55/12 + 35/6) = x × (141/16 - (55/12 - 35/6)) = x × (141/16 - (55/12 - 70/12)) = x × (141/16 - (-15/12)) = x × (141/16 + 15/12) = x × (141/16 + 5/4) = x × (141/16 + 20/16) = x × (161/16) = 10 1/16 × x
3. 1 1/22 = 23/22
3 2/3 = 11/3
2 5/6 = 17/6
3 5/6 = 23/6
23/22 × 11/3 - (17/6 + 23/6 ×7/23)×3/5 = (23×11)/(22×3) - (17/6 + (23×7)/(6×23)) × 3/5 = (23×11)/(2×11×3) - (17/6 + 7/6)×3/5 = 23/6 -(24/6)×3/5 = 23/6 - (24×3)/(6×5) = 23/6 - (6×4×3)/(6×5) = 23/6 - 12/5 = 115/30 - 72/30 = (115 - 72)/30 = 43/30 = 1 13/30
4. 3 3/7 = 24/7
2 2/13 = 28/13
2 1/7 = 15/7
24/7 × 28/13 + 15/7 × 28/13 = 28/13 × (24/7 + 15/7) = 28/13 × 39/7 = (28×39)/(13×7) = (4 × 7 × 13 × 3)/(13×7) = 4×3 = 12
50 005 — (1 534 + 827) — 1 005 = 46 639
1) 1 534 + 827 = 2361
2) 50 005 — 2361 = 47 644
3) 47 644 - 1 005 = 46 639
706 250 — (50 000 — 2 341) + 55 559 = 714 150
1) 50 000 — 2 341 = 47 659
2) 706 250 — 47 659 = 658 591
3) 658 591 + 55 559 = 714 150
105 000 + 78 000 – (350 + 25 600) = 157 050
1) 350 + 25 600 = 25 950
2) 105 000 + 78 000 = 183 000
3) 183 000 - 25 950 = 157 050
905 340 – (45 670 — 3 007) + 50 002 = 912 679
1) 45 670 — 3 007 = 42 663
2) 905 340 – 42 663 = 862 677
3) 862 677 + 50 002 = 912 679
Пошаговое объяснение:
1. 3 1/3
10
2 2/5
2 7/8
2. 10 1/16 × x
3. 1 13/30
4. 12
Пошаговое объяснение:
1.
1. 2 2/15 = 32/15
1 9/16 = 25/16
32/15 × 25/16 = (32×25)/(15×16) = (4×4×2×5×5)/(3×5×4×4) = (2×5)/3 = 10/3 = 3 1/3
2. 5/14 × 28 = (5×28)/14 = (5×2×14)/14 = 5×2 = 10
3. 5 3/5 = 28/5
28/5 × 3/7 = (28×3)/(5×7) = (4×7×3)/(5×7) = (4×3)/5 = 12/5 = 2 2/5
4. 1 7/8 = 15/8
1 1/15 = 16/15
1 7/16 = 23/16
15/8 × 16/15 × 23/16 = (15×16×23)/(8×15×16) = 23/8 = 2 7/8
2. 2. 8 13/16 = 141/16
4 7/12 = 55/12
5 5/6 = 35/6
141/16 x - 55/12 x + 35/6 x = x × (141/16 - 55/12 + 35/6) = x × (141/16 - (55/12 - 35/6)) = x × (141/16 - (55/12 - 70/12)) = x × (141/16 - (-15/12)) = x × (141/16 + 15/12) = x × (141/16 + 5/4) = x × (141/16 + 20/16) = x × (161/16) = 10 1/16 × x
3. 1 1/22 = 23/22
3 2/3 = 11/3
2 5/6 = 17/6
3 5/6 = 23/6
23/22 × 11/3 - (17/6 + 23/6 ×7/23)×3/5 = (23×11)/(22×3) - (17/6 + (23×7)/(6×23)) × 3/5 = (23×11)/(2×11×3) - (17/6 + 7/6)×3/5 = 23/6 -(24/6)×3/5 = 23/6 - (24×3)/(6×5) = 23/6 - (6×4×3)/(6×5) = 23/6 - 12/5 = 115/30 - 72/30 = (115 - 72)/30 = 43/30 = 1 13/30
4. 3 3/7 = 24/7
2 2/13 = 28/13
2 1/7 = 15/7
24/7 × 28/13 + 15/7 × 28/13 = 28/13 × (24/7 + 15/7) = 28/13 × 39/7 = (28×39)/(13×7) = (4 × 7 × 13 × 3)/(13×7) = 4×3 = 12