Вычислите 1) 3-(1/6+2\3) 2) 2 2/5-(1/4+7/10) 3) 9-(1 5/8+3/20) 4) 4 5/6-(2 3/8+7/12)

Question

Вычислите
1) 3-(1/6+2\3)
2) 2 2/5-(1/4+7/10)
3) 9-(1 5/8+3/20)
4) 4 5/6-(2 3/8+7/12)

Answer 1

1) 3-(¹/₆+²/₃) = 3 - ¹⁺⁴/₆ = 3 - ⁵/₆ = 2⁶/₆ - ⁵/₆ = 2¹/₆

2) 2 ²/₅-(¹/₄+⁷/₁₀) = 2 ²/₅- ⁵⁺¹⁴/₂₀ = 2 ²/₅- ¹⁹/₂₀ = ¹²/₅ - ¹⁹/₂₀ = ⁴⁸⁻¹⁹/₂₀= ²⁹/₂₀=1⁹/₂₀

3) 9-(1 ⁵/₈+³/₂₀) = 9- (¹³/₈+³/₂₀)=9-(⁶⁵⁺⁶/₄₀)= 9-⁷¹/₄₀=8⁴⁰/₄₀-1³¹/₄₀=7⁹/₄₀

4) 4⁵/₆-(2 ³/₈+⁷/₁₂)=²⁹/₆-(¹⁹/₈+⁷/₁₂)= ²⁹/₆ - ⁵⁷⁺¹⁴/₂₄= ²⁹/₆ - ⁷¹/₂₄=¹¹²⁻⁷¹/₂₄=⁴¹/₂₄=1¹⁷/₂₄