Question

(5 5/14-4 17/42)*11 1/5-2 2/3*3/5*2 11/12

Answer 1

(5 5/14 - 4 17/42) • 11 1/5 - 2 2/3 • 3/5 • 2 11/12 = (75/14 - 185/42) • 56/5 - 8/3 • 3/5 • 35/12 = ((225 - 185)/42) • 56/5 - 8/3 • 3/5 • 35/12 = 20/21 • 56/5 - 8/3 • 3/5 • 35/12 = (4 • 56)/21 - 8/5 • 35/12 = 224/21 - ((2 • 7)/3 = 32/3 - 14/3 = 18/3 = 6
Ответ: 6.

Answer 2

To solve this expression, we'll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break it down step by step:

1. First, perform the operations within parentheses if any: None in this case.

2. Perform multiplications and divisions from left to right:

   • $5 \frac{5}{14} - 4 \frac{17}{42}$
   • Convert mixed fractions to improper fractions:
     • $5 \frac{5}{14} = \frac{5 \times 14 + 5}{14} = \frac{75}{14}$
     • $4 \frac{17}{42} = \frac{4 \times 42 + 17}{42} = \frac{185}{42}$
   • Now subtract: $\frac{75}{14} - \frac{185}{42}$
   • Find a common denominator, which is 42:
     • $\frac{75 \times 3}{14 \times 3} - \frac{185}{42} = \frac{225}{42} - \frac{185}{42}$
   • Subtract the fractions: $\frac{225 - 185}{42} = \frac{40}{42}$
   • Simplify the fraction: $\frac{20}{21}$

3. Next, continue with the multiplication and division operations:

   • $11 \frac{1}{5} - 2 \frac{2}{3} \times \frac{3}{5} \times 2 \frac{11}{12}$
   • Convert mixed fractions to improper fractions:
     • $11 \frac{1}{5} = \frac{11 \times 5 + 1}{5} = \frac{56}{5}$
     • $2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{8}{3}$
     • $2 \frac{11}{12} = \frac{2 \times 12 + 11}{12} = \frac{35}{12}$
   • Now perform the multiplications:
     • $\frac{8}{3} \times \frac{3}{5} = \frac{8 \times 3}{3 \times 5} = \frac{24}{15}$
     • $\frac{35}{12} \times 2 = \frac{35 \times 2}{12} = \frac{70}{12}$

4. Substitute the results back into the expression:

   • $\frac{56}{5} - \frac{24}{15} \times \frac{70}{12}$
   • Find a common denominator for the fractions:
     • $\frac{56 \times 3}{5 \times 3} - \frac{24 \times 4}{15 \times 4} \times \frac{70}{12}$
     • $\frac{168}{15} - \frac{96}{60} \times \frac{70}{12}$

5. Continue with the multiplications and divisions:

   • $\frac{168}{15} - \frac{96 \times 70}{60 \times 12}$