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lomon2222
@lomon2222
August 2022
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1) 4,75 ∙ 6,4 – 0,15 ∙ 0,02
2) 5/12 × 2целых 3/7 + 5/12 × 3целых 4/7
3) (-3.4 + 7) × (-1целых 7/18)
4) 8целых 1/6 : 1целых 1/6 – 6целых 2/3
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Verified answer
1) 4,75 × 6,4 – 0,15 ×
0,02 = −30,397
4,75 × 6,4 = 30,4
0,15 × 0,02 = 0,003
30,4 - 0,003 = 30,397
2)
⁵/₁₂ × 2³/₇ + ⁵/₁₂ × 3⁴/₇ = ⁵/₁₂ × (2³/₇ + 3⁴/₇) = ⁵/₁₂ × 6 ⁵ˣ⁶/₁₂ = 6⁵/₂ = 8¹/₂ = 8,5
3) (-3,4 + 7) × (-1
⁷/₁₈
) = - 5
(-3,4 + 7) = 3,6
3,6 × (-1⁷/₁₈) = ³⁶/₁₀ × (-²⁵/₁₈) = -³⁶ˣ²⁵/₁₀ₓ₁₈ = - ¹⁰/₂ = - 5
4) 8
¹/₆ : 1¹/₆ – 6²/₃ = ¹/₃
8¹/₆ : 1¹/₆ = ⁴⁹/₆ : ⁷/₆ = ⁴⁹/₆ × ⁶/₇ = ⁴⁹ˣ⁶/₆ₓ₇ = ⁴⁹/₇ = 7
7 - 6²/₃ = 6³/₃ - 6²/₃ = ¹/₃
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Answers & Comments
Verified answer
1) 4,75 × 6,4 – 0,15 × 0,02 = −30,3974,75 × 6,4 = 30,4
0,15 × 0,02 = 0,003
30,4 - 0,003 = 30,397
2) ⁵/₁₂ × 2³/₇ + ⁵/₁₂ × 3⁴/₇ = ⁵/₁₂ × (2³/₇ + 3⁴/₇) = ⁵/₁₂ × 6 ⁵ˣ⁶/₁₂ = 6⁵/₂ = 8¹/₂ = 8,5
3) (-3,4 + 7) × (-1⁷/₁₈) = - 5
(-3,4 + 7) = 3,6
3,6 × (-1⁷/₁₈) = ³⁶/₁₀ × (-²⁵/₁₈) = -³⁶ˣ²⁵/₁₀ₓ₁₈ = - ¹⁰/₂ = - 5
4) 8¹/₆ : 1¹/₆ – 6²/₃ = ¹/₃
8¹/₆ : 1¹/₆ = ⁴⁹/₆ : ⁷/₆ = ⁴⁹/₆ × ⁶/₇ = ⁴⁹ˣ⁶/₆ₓ₇ = ⁴⁹/₇ = 7
7 - 6²/₃ = 6³/₃ - 6²/₃ = ¹/₃