Question

5/9+1 5/7*(4 2/3-2 5/8):1 3/4

Answer 1

Ответ:

1 20/441

Пошаговое объяснение:

Answer 2

To solve the expression step by step, let's follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

1. Evaluate the expression inside the parentheses:

   $$4 \frac{2}{3} - 2 \frac{5}{8}$$

   To subtract mixed numbers, we need to find a common denominator, which in this case is 24. Then, we can subtract the whole numbers and fractions separately:

   $$4 \frac{16}{24} - 2 \frac{15}{24} = 3 \frac{1}{24}$$

2. Perform the multiplication and division:

   $$\frac{5}{7} \times \left(3 \frac{1}{24}\right)$$

   Multiply the whole number by the denominator and add the numerator:

   $$\frac{5}{7} \times \left(3 + \frac{1}{24}\right) = \frac{5}{7} \times \frac{73}{24} = \frac{365}{168}$$

3. Add $\frac{1}{9}$:

   $$\frac{365}{168} + \frac{1}{9}$$

   Find a common denominator, which in this case is 1512:

   $$\frac{365 \times 168}{168 \times 9} + \frac{1512}{168 \times 9} = \frac{61320}{1512} + \frac{1512}{1512} = \frac{62832}{1512} = \frac{5219}{126}$$

4. Finally, divide by $\frac{7}{4}$:

   $$\frac{5219}{126} \div \frac{7}{4}$$

   Remember, dividing by a fraction is the same as multiplying by its reciprocal:

   $$\frac{5219}{126} \times \frac{4}{7} = \frac{5219 \times 4}{126 \times 7} = \frac{20876}{882} = \frac{290}{21}$$

So, $\frac{5}{9} + \frac{1 \, 5}{7} \times \left(4 \, \frac{2}{3} - 2 \, \frac{5}{8}\right) \div 1 \, \frac{3}{4}$ equals $\frac{290}{21}$.