Question

Вычислите: 1)6 целых 13/24+ 5 целых 7/8- 10 целых 3/4; 2) 8 целых 7/15-2/5+1 целая 1/3 ​

Answer 1

Ответ:

Объяснение:

1)6 13/24 + 5 7/8 - 10 3/4 = ( нужно найти общий знаменатель ) 6 13/24 + 5 21/24 - 10 18/24 = ( прибавляем первые два числа ) 11 33/24 - 10 18/24 = 1 15/24 ( сокращаем на 3 ) = 1 5/8

2)8 7/15 - 2/5 + 1 1/3 = 8 7/15 - 6 /15 + 1 5/15 = 8 1/15 + 1 5/15 = 9 6/15 = 9 2/5

Answer 2

To perform the arithmetic, we need to first convert all the mixed numbers into improper fractions and then find a common denominator.

6 целых 13/24 can be converted into an improper fraction as follows:

6 целых 13/24 = (6 × 24 + 13)/24 = 157/24

Similarly,

5 целых 7/8 = (5 × 8 + 7)/8 = 47/8

10 целых 3/4 = (10 × 4 + 3)/4 = 43/4

Now, we find the least common multiple (LCM) of the denominators 24 and 8, which is 24. So, we convert all the fractions to have a denominator of 24.

157/24 = (157 × 1)/24 = 157/24 47/8 = (47 × 3)/24 = 141/24 43/4 = (43 × 6)/24 = 258/24

Now, we can perform the arithmetic:

6 целых 13/24 + 5 целых 7/8 - 10 целых 3/4 = 157/24 + 141/24 - 258/24

= (157 + 141 - 258)/24

= 40/24

= 5/3

Therefore, the answer is 5/3.

To perform the arithmetic, we first convert all the mixed numbers into improper fractions.

8 целых 7/15 = (8 × 15 + 7)/15 = 127/15

1 целая 1/3 = (1 × 3 + 1)/3 = 4/3

Now, we can perform the arithmetic:

8 целых 7/15 - 2/5 + 1 целая 1/3

= 127/15 - 2/5 + 4/3

We need to find a common denominator for these fractions. The LCM of 15, 5, and 3 is 15.

So, we convert all the fractions to have a denominator of 15.

127/15 = (127 × 1)/15 = 127/15

2/5 = (2 × 3)/15 = 6/15

4/3 = (4 × 5)/15 = 20/15

Now, we can perform the arithmetic:

127/15 - 6/15 + 20/15

= (127 - 6 + 20)/15

= 141/15

= 47/5

Therefore, the answer is 47/5.