Question

А) 7/12 + 11/18 б) 2 7/24 + 3 5/16 в) 6 - (7/12 - 1/15)

Answer 1

Ответ:

1) 7/12 + 11/18 = домножаем первую дробь на 3, вторую на 2 = 21/ 36 + 22/36 = 43/36 = 1_7/36

2) 2_7/24 + 3_5/16 = первую дробь домножаем на 2, вторую домножаем на 3, получается 2_14/48 + 3_15/48 = 5_ 29/48

3) 6 - (7/12 - 1/15) =  

   1) 7/12 - 1/15 = первую домножаем на 5 ,вторую на 4  = 35/60 - 4/60 = 31/60.

   2) 6 - 31/60 = 5_60/60 - 31/60 =  5_29/60

Answer 2

Ответ и решение во вложении :)

Answer 3

a) 7/12 + 11/18

To add the fractions 7/12 and 11/18, we need to find a common denominator. The least common multiple (LCM) of 12 and 18 is 36.

Converting the fractions to have a denominator of 36:

7/12 = 21/36 11/18 = 22/36

Now, we can add the fractions:

21/36 + 22/36 = 43/36

Therefore, 7/12 + 11/18 = 43/36.

b) 2 7/24 + 3 5/16

To add the mixed numbers 2 7/24 and 3 5/16, we first need to convert them to improper fractions.

2 7/24 = (2 * 24 + 7)/24 = 55/24 3 5/16 = (3 * 16 + 5)/16 = 53/16

Now, we can add the fractions:

55/24 + 53/16

To find a common denominator, we can use the LCM of 24 and 16, which is 48.

Converting the fractions to have a denominator of 48:

55/24 = 110/48 53/16 = 159/48

Now, we can add the fractions:

110/48 + 159/48 = 269/48

Therefore, 2 7/24 + 3 5/16 = 269/48.

c) 6 - (7/12 + 1/15)

To subtract the sum of fractions from a whole number, we first need to find the sum of the fractions.

7/12 + 1/15

To find a common denominator, we can use the LCM of 12 and 15, which is 60.

Converting the fractions to have a denominator of 60:

7/12 = 35/60 1/15 = 4/60

Now, we can add the fractions:

35/60 + 4/60 = 39/60

Now, we can subtract the sum of the fractions from 6:

6 - 39/60

To subtract fractions, we need a common denominator. In this case, the denominator is already the same.

6/1 - 39/60 = (360/60 - 39/60) / 1 = 321/60

Simplifying the fraction:

321/60 = 107/20

Therefore, 6 - (7/12 + 1/15) = 107/20.