Question

1) 1/12+3/4 2)2 1/4:1/6 3)2-1 3/7 4)12*3/4​

Answer 1

Ответ:

Пошаговое объяснение:

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

2. 2 1/4 : 1/6 = 9/4 * 6/1 = 27/2 = 13 1/2

3. 2 - 1 3/7 = 1 7/7 - 1 3/7 = 4/7

4. 12 * 3/4 = 9

Answer 2

Ответ:

Пошаговое объяснение:1/12 +3/4=1/12+9/12=10/12= 5/6     2)2 1/4 : 1/6= 9/4:1/6=9/4 * 6/1=54/4=13 1/2   3) 2 - 1 3/7=1-3/7=7/7 - 3/7= 4/7      4)12 *3/4=  12*3 /4=9

Answer 3

Let's solve each of the expressions step by step:

1. 1/12 + 3/4

To add these fractions, we need a common denominator. The least common multiple (LCM) of 12 and 4 is 12. So, we'll convert both fractions to have a denominator of 12:

1/12 + 3/4 = (1/12) + (3/4) * (3/3) = 1/12 + 9/12 = (1 + 9)/12 = 10/12

Now, let's simplify the fraction:

10/12 can be reduced to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:

10 ÷ 2 / 12 ÷ 2 = 5/6

So, 1/12 + 3/4 = 5/6.

2. 2 1/4 : 1/6

To divide fractions, we flip the second fraction (the divisor) and change the division operation to multiplication:

2 1/4 ÷ 1/6 = 9/4 * 6/1 = (9 * 6) / (4 * 1) = 54 / 4

Now, we simplify the fraction:

54/4 can be reduced by dividing both the numerator and the denominator by their GCD, which is 2:

54 ÷ 2 / 4 ÷ 2 = 27/2

So, 2 1/4 : 1/6 = 27/2.

3. 2 - 1 3/7

To subtract mixed numbers, we first need to convert the mixed number to an improper fraction:

2 - 1 3/7 = 2 - (7 + 3)/7 = 2 - 10/7

Now, we need to find a common denominator, which is 7, and then subtract the fractions:

2 - 10/7 = 14/7 - 10/7 = (14 - 10)/7 = 4/7

So, 2 - 1 3/7 = 4/7.

4. 12 * 3/4

To multiply a whole number by a fraction, we simply multiply the whole number by the numerator of the fraction and keep the denominator the same:

12 * 3/4 = 12 * 3 / 4 = 36 / 4

Now, we simplify the fraction:

36/4 can be reduced by dividing both the numerator and the denominator by their GCD, which is 4:

36 ÷ 4 / 4 ÷ 4 = 9/1 = 9

So, 12 * 3/4 = 9.

In summary:

1. 1/12 + 3/4 = 5/6
2. 2 1/4 : 1/6 = 27/2
3. 2 - 1 3/7 = 4/7
4. 12 * 3/4 = 9