Question

Вариант 19.19 Выполните действия: 1) 1 1/5 * 1 3/7 2) 2/15 : 3 1/2 3)2 2/3 - 1 1/12 4) 1 1/14 + 4 1/10 5)3 7/12 + 4 11/12 6)1 1/20 - 11/12 7)4 3/4 : 2 3/8 8)4 * 2 1/2

Answer 1

Объяснение:

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Answer 2

To solve each expression, let's follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and convert all mixed numbers to improper fractions if necessary.

1. 1 1/5 * 1 3/7

Step 1: Convert mixed numbers to improper fractions: 1 1/5 = (5 * 1 + 1) / 5 = 6/5 1 3/7 = (7 * 1 + 3) / 7 = 10/7

Step 2: Multiply the fractions: (6/5) * (10/7) = (6 * 10) / (5 * 7) = 60 / 35

Step 3: Simplify the fraction (if possible): The simplified fraction is 12/7.

2. 2/15 : 3 1/2

Step 1: Convert the mixed number to an improper fraction: 3 1/2 = (2 * 3 + 1) / 2 = 7/2

Step 2: Divide the fractions: (2/15) / (7/2) = (2/15) * (2/7) = 4 / 105

3. 2 2/3 - 1 1/12

Step 1: Convert the mixed numbers to improper fractions: 2 2/3 = (3 * 2 + 2) / 3 = 8/3 1 1/12 = (12 * 1 + 1) / 12 = 13/12

Step 2: Subtract the fractions: (8/3) - (13/12) = (32/12) - (13/12) = 19/12

Step 3: Simplify the fraction (if possible): The simplified fraction is 1 7/12.

4. 1 1/14 + 4 1/10

Step 1: Convert the mixed numbers to improper fractions: 1 1/14 = (14 * 1 + 1) / 14 = 15/14 4 1/10 = (10 * 4 + 1) / 10 = 41/10

Step 2: Add the fractions: (15/14) + (41/10)

To add fractions, we need a common denominator. The least common multiple of 14 and 10 is 70.

(15/14) + (41/10) = (15/14) * (5/5) + (41/10) * (7/7) = (75/70) + (287/70) = 362/70

Step 3: Simplify the fraction (if possible): The simplified fraction is 5 12/70, which can be further reduced to 5 6/35.

5. 3 7/12 + 4 11/12

Step 1: Convert the mixed numbers to improper fractions: 3 7/12 = (12 * 3 + 7) / 12 = 43/12 4 11/12 = (12 * 4 + 11) / 12 = 59/12

Step 2: Add the fractions: (43/12) + (59/12) = (43 + 59) / 12 = 102/12

Step 3: Simplify the fraction (if possible): The simplified fraction is 8 1/3.

6. 1 1/20 - 11/12

Step 1: Convert the mixed number to an improper fraction: 1 1/20 = (20 * 1 + 1) / 20 = 21/20

Step 2: Subtract the fractions: (21/20) - (11/12)

To subtract fractions, we need a common denominator. The least common multiple of 20 and 12 is 60.

(21/20) - (11/12) = (21/20) * (3/3) - (11/12) * (5/5) = (63/60) - (55/60) = 8/60

Step 3: Simplify the fraction (if possible): The simplified fraction is 2/15.

7. 4 3/4 : 2 3/8

Step 1: Convert the mixed numbers to improper fractions: 4 3/4 = (4 * 4 + 3) / 4 = 19/4 2 3/8 = (8 * 2 + 3) / 8 = 19/8

Step 2: Divide the fractions: (19/4) / (19/8) = (19/4) * (8/19) = 2

8. 4 * 2 1/2

Step 1: Convert the mixed number to an improper fraction: 2 1/2 = (2 * 2 + 1) / 2 = 5/2

Step 2: Multiply the fractions: 4 * (5/2) = 20/2 = 10

Answer:

1. 1 1/5 * 1 3/7 = 12/7
2. 2/15 : 3 1/2 = 4/105
3. 2 2/3 - 1 1/12 = 1 7/12
4. 1 1/14 + 4 1/10 = 5 6/35
5. 3 7/12 + 4 11/12 = 8 1/3
6. 1 1/20 - 11/12 = 2/15
7. 4 3/4 : 2 3/8 = 2
8. 4 * 2 1/2 = 10