Question

(9-1 1/3*4 2/7)*21/46

Answer 1

(9 - 1 1/3 * 4 2/7) * 21/46 = 1 целая 1/2

1) 1 1/3 * 4 2/7 = 4/3 * 30/7 = (4*10)/(1*7) = 40/7 = 5 целых 5/7

2) 9 - 5 5/7 = 8 7/7 - 5 5/7 = 3 целых 2/7

3) 3 2/7 * 21/46 = 23/7 * 21/46 = (1*3)/(1*2) = 3/2 = 1 целая 1/2

Answer 2

To solve this expression, we can follow the order of operations, which is commonly remembered using the acronym PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction).

1. First, we need to simplify the expression inside the parentheses: 9 - 1 1/3 * 4 2/7 = 9 - (4 + 2/7) (converting mixed fractions to improper fractions) = 9 - 4 - 2/7 = 5 5/7

2. Next, we can substitute this result back into the original expression: (5 5/7) * 21/46

3. We can then simplify this expression by multiplying the numerators and denominators: (40/7) * (3/22)

4. Finally, we can multiply the numerators and the denominators separately to get the simplified fraction: 120/154 or 60/77

Therefore, the final answer is 60/77.