Question

4 4/9-1 5/6;5 11/12+2 3/8;1 7/60+3/20;7 35/68-(1 1/68+5 3/22)

Answer 1

4 4/9 - 1 5/6 = 4 8/18 - 1 15/18 = 3 26/18 - 1 15/18 = 2 11/18

5 11/12 + 2 3/8 = 5 22/24 + 2 9/24 = 7 31/24 = 8 7/24

1 7/60 + 3/20 = 1 7/60 + 9/60 = 1 16/60 = 1 4/15

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Чтобы из числа вычесть сумму чисел, можно сначала из этого числа  вычесть одно слагаемое, затем другое.

7 35/68 - (1 1/68 + 5 3/22) = 7 35/68 - 1 1/68 - 5 3/22 = 1 4/11

1) 7 35/68 - 1 1/68 = 6 34/68 = 6 1/2

2) 6 1/2 - 5 3/22 = 6 11/22 - 5 3/22 = 1 8/22 = 1 4/11

Answer 2

To solve these arithmetic expressions involving mixed numbers and fractions, let's take them one by one:

1. 4 4/9 - 1 5/6: To subtract mixed numbers, we first convert them into improper fractions. 4 4/9 = (4 * 9 + 4) / 9 = 40/9 1 5/6 = (1 * 6 + 5) / 6 = 11/6

Now we can subtract the fractions: 40/9 - 11/6

To subtract fractions, we need to find a common denominator, which in this case is 18.

(40/9) * (2/2) = 80/18 (11/6) * (3/3) = 33/18

Now we can subtract: 80/18 - 33/18 = (80 - 33) / 18 = 47/18

The result is 2 11/18.

2. 5 11/12 + 2 3/8: Again, let's convert the mixed numbers into improper fractions. 5 11/12 = (5 * 12 + 11) / 12 = 71/12 2 3/8 = (2 * 8 + 3) / 8 = 19/8

Now we can add the fractions: 71/12 + 19/8

To add fractions, we need a common denominator, which in this case is 24.

(71/12) * (2/2) = 142/24 (19/8) * (3/3) = 57/24

Now we can add: 142/24 + 57/24 = (142 + 57) / 24 = 199/24

The result is 8 7/24.

3. 1 7/60 + 3/20: Converting the mixed number and fraction to improper fractions: 1 7/60 = (1 * 60 + 7) / 60 = 67/60

Now we can add the fractions: 67/60 + 3/20

To add fractions, we need a common denominator, which in this case is 60.

(67/60) * (1/1) = 67/60 (3/20) * (3/3) = 9/60

Now we can add: 67/60 + 9/60 = (67 + 9) / 60 = 76/60

Simplifying the fraction, we get: 76/60 = (2 * 38) / (2 * 30) = 38/30 = (19 * 2) / (15 * 2) = 19/15

The result is 1 4/15.

4. 7 35/68 - (1 1/68 + 5 3/22): Let's solve the expression inside the parentheses first: 1 1/68 = (1 * 68 + 1) / 68 = 69/68 5 3/22 = (5 * 22 + 3) / 22 = 113/22

Now subtract the mixed numbers: 7 35/68 - (69/68 + 113/22)

To subtract fractions, we need a common denominator, which in this case is 68.

(7 * 68 + 35) / 68 = 507/68

Now let's add the fractions inside the parentheses: 69/68 + 113/22

To add fractions, we need a common denominator, which in this case