Question

4 1/2 x 8/9 - 5 1/3 : (-10 2/3)

Answer 1

$4 \frac{1}{2} \times \frac{8}{9} - 5 \frac{1}{3} \div ( - 10 \frac{2}{3} ) = \\ \\ = \frac{9 \times 8}{2 \times 9} - \frac{16}{3} \div ( - \frac{32}{3} ) = \\ \\ = 4 - \frac{16}{3} \times ( - \frac{3}{32} ) = \\ \\ = 4 - ( - \frac{1}{2}) = 4 + 0.5 = 4.5$

Ответ: 4,5

Answer 2

To solve the expression 4 1/2 x 8/9 - 5 1/3 : (-10 2/3), we need to follow the order of operations, which is typically remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break down the expression step by step:

Step 1: Evaluate the division part of the expression. 5 1/3 : (-10 2/3) To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. Reciprocal of (-10 2/3) is (-3/10). So, 5 1/3 : (-10 2/3) becomes 5 1/3 x (-3/10).

To multiply mixed numbers, we need to convert them to improper fractions: 5 1/3 = (3 * 5 + 1)/3 = 16/3

Now, we can multiply: 16/3 x (-3/10) = -48/30 = -8/5

Step 2: Evaluate the multiplication part of the expression. 4 1/2 x 8/9 To multiply mixed numbers, we need to convert them to improper fractions: 4 1/2 = (2 * 4 + 1)/2 = 9/2

Now, we can multiply: 9/2 x 8/9 = 72/18 = 4/1 = 4

Step 3: Perform the subtraction. 4 - 8/5 = 20/5 - 8/5 = 12/5

Therefore, the final result of the expression 4 1/2 x 8/9 - 5 1/3 : (-10 2/3) is 12/5 or 2 2/5.