Question

4) (5,4- 2 1/3): 7 2/3​

Answer 1

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Answer 2

Ответ:

1) Переведём для удобства в обыкновенную дробь десятичное и смешанные числа :

$5\frac{4}{10} =\frac{54}{10} =\frac{27}{5}$

$2\frac{1}{3} =\frac{7}{3}$

$7\frac{2}{3} =\frac{23}{3}$

2) Теперь по очереди, сначала действие в скобках , а потом деление:

$\frac{27}{5} -\frac{7}{3} =\frac{(27*3)-(7*5)}{15} = \frac{81-35}{15} = \frac{46}{15}$ - где 15 это общий знаменатель, т.е. наименьшее число, которое можно разделить на 5 и 3.

3) Последнее действие - Деление :

При делении, если в знаменателе дробь, то оно переворачивается:

$\frac{\frac{46}{15}}{\frac{23}{3} } =\frac{46}{15} * \frac{3}{23} = \frac{2}{5}$

ОТВЕТ = $\frac{2}{5}$

Answer 3

To solve the expression (5, 4 - 2 1/3) ÷ 7 2/3, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

In this case, there are no parentheses or exponents, so we start with multiplication and division:

1. First, we calculate the expression within the parentheses: 4 - 2 1/3.

   To subtract a mixed number, you need to make sure both fractions have the same denominator. So, convert 4 to a fraction with a denominator of 3:

   4 = 12/3

   Now, subtract 2 1/3:

   12/3 - 2 1/3 = 12/3 - (6/3 + 1/3) = 12/3 - 7/3 = 5/3

   So, (5, 4 - 2 1/3) simplifies to 5, 5/3.

2. Now, the expression becomes: 5, 5/3 ÷ 7 2/3.

To divide mixed numbers, convert them to improper fractions and then divide:

5, 5/3 = (3 * 5 + 5)/3 = 20/3

7 2/3 = (3 * 7 + 2)/3 = 23/3

Now, divide:

(20/3) ÷ (23/3) = (20/3) * (3/23)

Now, you can cancel out the common factor of 3:

(20/3) * (1/23) = (20/23)

So, the simplified result is 20/23.