Question

12 8/9÷4+2/3×1/24= б)(1/4+7/18)×1 1/23-1=

Answer 1

Все решение в прикрепленной картинке)

Answer 2

Let's break down each of these calculations step by step.

a) 12 8/9 ÷ 4 + 2/3 × 1/24

Step 1: Convert the mixed number 12 8/9 to an improper fraction. 12 8/9 = (12 * 9 + 8)/9 = 116/9

So, the expression becomes:

(116/9) ÷ 4 + (2/3) × (1/24)

Step 2: Perform the division and multiplication operations. (116/9) ÷ 4 = (116/9) × (1/4) = (116/36)

(2/3) × (1/24) = (2/3) × (1/24) = (2/72) = (1/36)

Now, the expression becomes:

(116/36) + (1/36)

Step 3: Add the fractions with a common denominator. (116/36) + (1/36) = (116 + 1)/36 = 117/36

So, the result of the expression is 117/36.

b) (1/4 + 7/18) × (1 1/23 - 1)

Step 1: Find a common denominator for the fractions inside the parentheses. The common denominator for 4 and 18 is 36. So, we need to rewrite the fractions:

1/4 = 9/36 (multiply numerator and denominator by 9) 7/18 = 14/36 (multiply numerator and denominator by 2)

Now, the expression becomes:

(9/36 + 14/36) × (1 1/23 - 1)

Step 2: Add the fractions inside the first set of parentheses. (9/36 + 14/36) = (9 + 14)/36 = 23/36

Now, the expression becomes:

(23/36) × (1 1/23 - 1)

Step 3: Calculate the value inside the second set of parentheses. 1 1/23 can be converted to an improper fraction:

1 1/23 = (23 * 1 + 1)/23 = 24/23

Now, the expression becomes:

(23/36) × (24/23 - 1)

Step 4: Perform the subtraction inside the second set of parentheses. (24/23 - 1) = (24/23 - 23/23) = 1/23

Now, the expression becomes:

(23/36) × (1/23)

Step 5: Multiply the fractions. (23/36) × (1/23) = (23/36) × (1/23) = (23/36) × (1/23) = 23/828

So, the result of the expression is 23/828, which can be simplified further if needed.