Question

1 1/14 : 1 5/7 14/15 : 0,7 4 2/3 : 2/3 - 1 : 3 1/2

Answer 1

Ответ:

Вот третье и второе.

.........

Answer 2

Ответ:

1) 1/14:1 5/7= 15/14:12/7=15/14×7/12=15×7

____

14×12

7 и 14 сокращаем на 7, получаем 1 и 2

15×1

____

2×12

15 и 12 сокращаем на 3, получается 5 и 4.

5×1

___=5/8

2×4

2) 14/15:0,7=14/15:7/10=14/15×10/7=14×10

____

15×7

7 и 14 скоращаем на 7, получается 1 и 2.

15 и 10 сокращаем на 5, получаем 3 и 2

2×2

____=4/3=1 1/3

3×1

3) 4 2/3:2/3-1:3 1/2=14/3:2/3-1:7/2=14/3×3/2-1×2/7=

14×3

____=42/6=7 (можно сокращать, а

можно и нет)

3×2

1×2

___= 2/7 = 7-2/7= 6 7/7- 2/7=

7

=6 5/7

ОТВЕТ: 1) 5/8; 2) 1 1/3; 3) 6 5/7

Answer 3

To solve the given expressions, let's break them down one by one:

1. 1 1/14 : 1 5/7 To divide fractions, we need to convert the mixed numbers to improper fractions: 1 1/14 = (14 + 1)/14 = 15/14 1 5/7 = (7 + 5)/7 = 12/7

Now we can divide the fractions: (15/14) : (12/7)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (15/14) * (7/12) = (15 * 7) / (14 * 12) = 105/168

Therefore, 1 1/14 : 1 5/7 equals 105/168.

2. 14/15 : 0.7 To divide by a decimal number, we convert the decimal to a fraction: 0.7 = 7/10

Now we can divide the fractions: (14/15) : (7/10)

Again, we multiply the first fraction by the reciprocal of the second fraction: (14/15) * (10/7) = (14 * 10) / (15 * 7) = 140/105

Simplifying the fraction, we get: 140/105 = 4/3

Therefore, 14/15 : 0.7 equals 4/3.

3. 4 2/3 : 2/3 - 1 : 3 1/2 First, let's simplify the mixed numbers: 4 2/3 = (4 * 3 + 2)/3 = 14/3 3 1/2 = (3 * 2 + 1)/2 = 7/2

Now we can substitute these values into the expression: (14/3) : (2/3) - (1/3) : (7/2)

To divide fractions, we multiply by the reciprocal: (14/3) * (3/2) - (1/3) * (2/7)

Simplifying the fractions: (14 * 3) / (3 * 2) - (1 * 2) / (3 * 7) = 42/6 - 2/21

Finding a common denominator: 42/6 = (42 * 7) / (6 * 7) = 294/42 2/21 = (2 * 2) / (21 * 2) = 4/42

Now we can subtract the fractions: 294/42 - 4/42 = (294 - 4) / 42 = 290/42

Simplifying the fraction, we get: 290/42 = 145/21

Therefore, 4 2/3 : 2/3 - 1 : 3 1/2 equals 145/21.