Question

(5 3/8 + 18 1/2 -7 5/24)÷ 16 2/3По действиям пж

Answer 1

Вот и всё............ ......

Answer 2

5 ⅜+18½-7 5/24 приводим к общему знаменателю.
Общий знаменатель 24.
Получаем
$5 + 18 - 7 + \frac{9+ 12 - 5}{24}$
5+18-7=16
$\frac{9 + 12 - 5}{24} = \frac{16}{24}$
Получается 16 16/24: 16⅔.
Можно сократить 16/24.
$\frac{16}{24} = \frac{2}{3}$
16⅔:16⅔=1

Answer 3

To solve the expression, follow these steps:

Step 1: Add the numbers in the parentheses: (5 3/8 + 18 1/2 - 7 5/24)

First, let's convert all the mixed numbers to improper fractions:

5 3/8 = (8 * 5 + 3)/8 = 43/8 18 1/2 = (2 * 18 + 1)/2 = 37/2 7 5/24 = (24 * 7 + 5)/24 = 173/24

Now, add the fractions:

43/8 + 37/2 - 173/24

Step 2: Find the common denominator for all three fractions, which is 24:

43/8 + (37/2 * 12/12) - 173/24

Step 3: Convert the fractions to have the same denominator:

43/8 + 444/24 - 173/24

Step 4: Add the fractions:

43/8 + 444/24 - 173/24 = (43 + 444 - 173)/24 = 314/24

Step 5: Simplify the fraction:

314/24 = (24 * 13 + 2)/24 = 13 2/24 = 13 1/12

Now, the expression becomes:

(13 1/12) ÷ 16 2/3

Step 6: Convert both mixed numbers to improper fractions:

13 1/12 = (12 * 13 + 1)/12 = 157/12 16 2/3 = (3 * 16 + 2)/3 = 50/3

Step 7: Divide the fractions:

(157/12) ÷ (50/3)

Step 8: Invert the divisor (50/3) and multiply:

(157/12) * (3/50) = (157 * 3)/(12 * 50) = 471/600

Step 9: Simplify the fraction:

471/600 = (3 * 157)/(3 * 200) = 157/200

So, the final result is:

157/200 or 0.785 (rounded to three decimal places).