Question

5/9 + 1целая5/7 ×(4целая2/3-2целая5/8):1целая3/4=

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS):

P - Parentheses (Brackets) E - Exponents (Orders and Powers) MD/AS - Multiplication and Division (from left to right) AS - Addition and Subtraction (from left to right)

Let's solve the expression step by step:

1. Perform operations inside the parentheses: 4целая2/3 - 2целая5/8

To subtract fractions, we need a common denominator, which is 24. Converting both fractions:

(4 * 8 + 2) / 24 - (2 * 3 + 5) / 24 (32 + 2) / 24 - (6 + 5) / 24 34 / 24 - 11 / 24

Now, we can subtract them:

(34 - 11) / 24 23 / 24

2. Next, we deal with the division: 1целая5/7 ÷ 1целая3/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(7 + 5) / 7 × (4 / 3) 12 / 7 × 4 / 3

Now, multiply the fractions:

(12 * 4) / (7 * 3) 48 / 21

3. Moving on to the addition and subtraction: 5/9 + 48/21

To add fractions, we need a common denominator. The least common multiple of 9 and 21 is 63. Convert both fractions:

(5 * 7) / 63 + (48 * 3) / 63 35 / 63 + 144 / 63

Now, add them:

(35 + 144) / 63 179 / 63

Finally, we can simplify the fraction:

179 ÷ 63 = 2 целых 53/63

So, the simplified result of the expression is 2 целых 53/63.