Question

С решением1)2 1/7 - 1 2/3 - 3/8 2) 8-3/6+1/3*5-1 1/3

Answer 1

Ответ:

Пошаговое объяснение:

1)2 1/7 - 1 2/3 - 3/8=73/168

2 1/7-1 2/3=2 3/21-1 7/21=17/21

17/21-3/8=136/168-63/168=73/168

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

1/3*5=5/3=1 2/3

8-3/6=7 1/2

1 2/3-1 1/3=1/3

7 1/2+1/3=7 3/6+2/6=7 5/6

Answer 2

1. To solve the expression 2 1/7 - 1 2/3 - 3/8, we need to convert all the mixed numbers to improper fractions.

Converting 2 1/7 to an improper fraction: 2 1/7 = (2 * 7 + 1) / 7 = 15 / 7

Converting 1 2/3 to an improper fraction: 1 2/3 = (1 * 3 + 2) / 3 = 5 / 3

Now let's subtract the fractions: 15/7 - 5/3 - 3/8

To simplify the expression, we need to find a common denominator for all the fractions involved. The least common denominator (LCD) for 7, 3, and 8 is 168.

Converting all the fractions to have a denominator of 168:

(15/7) * (24/24) = 360/168 (5/3) * (56/56) = 280/168 (3/8) * (21/21) = 63/168

Now we can subtract the fractions: 360/168 - 280/168 - 63/168

Combining the numerators: (360 - 280 - 63) / 168 = 17 / 168

The result is 17/168.

2. To solve the expression 8-3/6+1/3*5-1 1/3, we follow the order of operations (PEMDAS/BODMAS).

First, we deal with the multiplication: 1/3 * 5 = 5/3

Next, we simplify the mixed number: 1 1/3 = (1 * 3 + 1) / 3 = 4/3

Now we can substitute the values into the expression and calculate:

8 - 3/6 + 5/3 - 4/3

To simplify the expression, we need to find a common denominator for all the fractions involved. The least common denominator (LCD) for 6, 3, and 3 is 6.

Converting all the fractions to have a denominator of 6:

8 = 8/1 3/6 = 1/2 5/3 = 10/6 4/3 = 8/6

Now we can substitute the values and calculate:

8/1 - 1/2 + 10/6 - 8/6

Combining the numerators: (48 - 6 + 10 - 8) / 6 = 44/6

Simplifying the fraction: 44/6 = 22/3

The result is 22/3.