Question

А. 1/12 + 3/4b 3 1/2 + 1/3​

Answer 1

Ответ:

1. 9/12.

2. 5/6

Пошаговое объяснение:

1/12 +3/ 4 зводимо до однакового знаменника. 1/12+9/12 і додаємо. дорівнює 9/12.

1/2+1/3 тут зводимо до однакового знаменника.

3/6+2/6 і додаємо. дорівнює 5/6.

Answer 2

Ответ:

Пошаговое объяснение:

а. 1/12 + 3/4 = 1/12 + 9/12 = 10/12 = 5/6

b 3 1/2 + 1/3​ = 3 3/6 + 2/6 = 3 5/6

Answer 3

To simplify the expression:

A = 1/12 + 3/4 * (3 1/2) + 1/3

First, simplify the mixed number:

3 1/2 = 3 + 1/2 = 6/2 + 1/2 = 7/2

Now, rewrite the expression:

A = 1/12 + 3/4 * (7/2) + 1/3

Now, let's work through the calculations step by step:

1. Multiply 3/4 by 7/2: (3/4) * (7/2) = (3 * 7) / (4 * 2) = 21/8

2. Now, we can rewrite the expression: A = 1/12 + 21/8 + 1/3

Next, we need to find a common denominator to add the fractions. The common denominator for 12 and 8 is 24, so we'll convert all the fractions:

1. Convert 1/12 to have a denominator of 24: (1/12) * (2/2) = 2/24

2. Convert 21/8 to have a denominator of 24: (21/8) * (3/3) = 63/24

3. Keep 1/3 as it is.

Now, the expression becomes:

A = 2/24 + 63/24 + 1/3

Now, add the fractions:

A = (2/24) + (63/24) + (8/24)

Now, all the fractions have the same denominator, so we can add them:

A = (2 + 63 + 8) / 24

A = 73/24

So, the simplified expression is:

A = 73/24