Question

Решите: 1) 2 1/3 : 2 2/3 * 1 3/5 2) 4 4/15 : 2 1/3 3) 1 1/9 * 2 1/5 : 7 1/3 4) 1 2/5 * ( 1 1/4 - 5/7) 5) 15 2/5 * 1 5/7 + 6 10/27 * 3 3/8 6) 15 4/7 - 4 3/8 * ( 1 3/7 - 34/35)

Answer 1

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Answer 2

To solve the given expressions, we'll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's start:

1. $2 \frac{1}{3} : 2 \frac{2}{3} \times 1 \frac{3}{5}$

Step 1: Perform division first: $2 \frac{1}{3} \div 2 \frac{2}{3} = \frac{7}{3} \div \frac{8}{3} = \frac{7}{3} \times \frac{3}{8} = \frac{7}{8}$

Step 2: Perform multiplication: $\frac{7}{8} \times 1 \frac{3}{5} = \frac{7}{8} \times \frac{8}{5} = \frac{7}{5} = 1 \frac{2}{5}$

Answer: $1 \frac{2}{5}$

2. $4 \frac{4}{15} : 2 \frac{1}{3}$

Step 1: Perform division: $4 \frac{4}{15} \div 2 \frac{1}{3} = \frac{64}{15} \div \frac{7}{3} = \frac{64}{15} \times \frac{3}{7} = \frac{64}{35} = 1 \frac{29}{35}$

Answer: $1 \frac{29}{35}$

3. $1 \frac{1}{9} \times 2 \frac{1}{5} : 7 \frac{1}{3}$

Step 1: Perform multiplication: $1 \frac{1}{9} \times 2 \frac{1}{5} = \frac{10}{9} \times \frac{11}{5} = \frac{110}{45} = \frac{22}{9}$

Step 2: Perform division: $\frac{22}{9} : 7 \frac{1}{3} = \frac{22}{9} \div \frac{22}{3} = \frac{22}{9} \times \frac{3}{22} = \frac{1}{1} = 1$

Answer: $1$

4. $1 \frac{2}{5} \times \left(1 \frac{1}{4} - \frac{5}{7}\right)$

Step 1: Perform the subtraction inside the parentheses: $1 \frac{1}{4} - \frac{5}{7} = \frac{11}{4} - \frac{5}{7} = \frac{49}{28} - \frac{20}{28} = \frac{29}{28}$