Question

Найдите значение выражение : 1)( - 7/18 + 11/12) :( - 19/48) 2) ( - 7/16( -5/34)) : ( - 1 15/16) 3)( - 3 5/12 - 2 4/15) : (- 6 3/20) 4)( 10/21- 25/28): ( - 11/14 + 24/ 35) 5) - 2 2/3+ 2 1/3 * ( - 15 3/7 - ( - 4,8) : 4/15)

Answer 1

1)( - ⁷/₁₈ + ¹¹/₁₂) :( - ¹⁹/₄₈) = (- ¹⁴/₃₆ + ³³/₃₆) : (- ¹⁹/₄₈) =  ¹⁹/₃₆ : (- ¹⁹/₄₈) = 
¹⁹/₃₆ * (- ⁴⁸/₁₉) = - ⁴/₃ = - 1¹/₃.
2)( - ⁷/₁₆ * ( -⁵/₃₄)) : ( - 1¹⁵/₁₆) = ³⁵/₅₄₄ : (- 1¹⁵/₁₆) = ³⁵/₅₄₄ : (- ³¹/₁₆) = 
³⁵/₅₄₄ * (- ¹⁶/₃₁) = - ³⁵/₁₀₅₄.
3)( - 3⁵/₁₂ - 2⁴/₁₅) : (- 6³/₂₀) = ( - 3²⁵/₆₀ - 2¹⁶/₆₀) : (- 6³/₂₀) = - 5⁴¹/₆₀ : (- 6³/₂₀) = 
- ³⁴¹/₆₀ : (- ¹²³/₂₀) = - ³⁴¹/₆₀ * (- ²⁰/₁₂₃) = ³⁴¹/₃₆₉.
4)( ¹⁰/₂₁- ²⁵/₂₈) :( - ¹¹/₁₄ + ²⁴/₃₅) = ( ⁴⁰/₈₄- ⁷⁵/₈₄) :( - ⁵⁵/₇₀ + ⁴⁸/₇₀) = -³⁵/₈₄ :(- ⁷/₇₀)= - ³⁵/₈₄ : (- ¹/₁₀) = - ³⁵/₈₄ * (- 10) = ¹⁷⁵/₄₈.
5)- 2²/₃+ 2¹/₃ * (- 15³/₇ - (- 4,8) : ⁴/₁₅) = - 2²/₃+ 2¹/₃ *( - 15³/₇ - (- 4⁴/₅ : ⁴/₁₅)) =
 - 2²/₃+ 2¹/₃ * ( - 15³/₇ - (- ²⁴/₅ : ⁴/₁₅)) =  - 2²/₃+ 2¹/₃ * ( - 15³/₇ - (- ²⁴/₅ * ¹⁵/₄)) = 
- 2²/₃+ 2¹/₃ * ( - 15³/₇ - (- 18)) = - 2²/₃+ 2¹/₃ * ( - 15³/₇ + 18)) = 
- 2²/₃+ 2¹/₃ * ( - 15³/₇ + 17⁷/₇)) = - 2²/₃+ 2¹/₃ * 2⁴/₇ = - 2²/₃ + ⁷/₃ * ¹⁸/₇ = 
- 2²/₃ + 6 = -2²/₃ + 5³/₃ = 3¹/₃.

Answer 2

1. To find the value of the expression: $\left(-\frac{7}{18} + \frac{11}{12}\right) \div \left(-\frac{19}{48}\right)$

We can simplify the expression step by step:

Step 1: Combine the fractions inside the parentheses: $-\frac{7}{18} + \frac{11}{12} = -\frac{14}{36} + \frac{33}{36} = \frac{19}{36}$

Step 2: Divide by the fraction outside the parentheses: $\frac{19}{36} \div \left(-\frac{19}{48}\right)$

When we divide fractions, we can multiply by the reciprocal of the divisor: $\frac{19}{36} \times \left(-\frac{48}{19}\right) = -\frac{912}{684} = -\frac{38}{28}$

Step 3: Simplify the fraction: $-\frac{38}{28} = -\frac{19}{14}$

Therefore, the value of the expression is $-\frac{19}{14}$.

2. To find the value of the expression: $\left(-\frac{7}{16} \times -\frac{5}{34}\right) \div \left(-\frac{1}{16} + \frac{15}{16}\right)$

Again, let's simplify the expression step by step:

Step 1: Multiply the fractions inside the parentheses: $-\frac{7}{16} \times -\frac{5}{34} = \frac{35}{544}$

Step 2: Combine the fractions inside the parentheses: $-\frac{1}{16} + \frac{15}{16} = \frac{14}{16} = \frac{7}{8}$

Step 3: Divide by the fraction outside the parentheses: $\frac{35}{544} \div \frac{7}{8}$

To divide fractions, we multiply by the reciprocal: $\frac{35}{544} \times \frac{8}{7} = \frac{280}{3808}$

Step 4: Simplify the fraction: $\frac{280}{3808} = \frac{35}{476}$

Therefore, the value of the expression is $\frac{35}{476}$.

3. To find the value of the expression: $\left(-3\frac{5}{12} - 2\frac{4}{15}\right) \div (-6\frac{3}{20})$

Let's simplify the expression step by step:

Step 1: Convert mixed numbers to improper fractions: $-3\frac{5}{12} = -\frac{47}{12} \quad \text{and} \quad 2\frac{4}{15} = \frac{34}{15}$

Step 2: Combine the fractions inside the parentheses: $-\frac{47}{12} - \frac{34}{15} = -\frac{784}{180} - \frac{408}{180} = -\frac{1192}{180}$