Question

1) 11/14:3,1/7=0,25 2) 1,75-2,1/3-7/12 3)1,6(2/3:5/6):4

Answer 1

11/14:3,1/7=0,25 11/14:22/7=0.25 0,25=0,25 Ответ:0,25

Answer 2

Let's solve each of the given expressions step by step:

1. 11/14:3,1/7 = 0.25

To solve this expression, we need to evaluate the division operation first.

11/14 ÷ 3,1/7

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number:

11/14 × 1/3 ÷ 1/7

Now, we can multiply the fractions:

(11/14) × (1/3) ÷ (1/7) = (11/42) ÷ (1/7)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(11/42) × (7/1) = 77/42

This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 7:

77/42 = (11 × 7) / (6 × 7) = 11/6

So, the expression 11/14:3,1/7 simplifies to 11/6 or approximately 1.833.

2. 1,75 - 2,1/3 - 7/12

First, we need to evaluate the division operation:

2,1/3 = 2 + (1/3) = 2.333

Now, we can substitute the values into the expression:

1.75 - 2.333 - 7/12

To subtract mixed numbers, we need to convert them into improper fractions:

1.75 = 7/4

Now, we can rewrite the expression:

7/4 - 2.333 - 7/12

To subtract mixed numbers and decimals, we need to convert the decimals into fractions:

2.333 = 2 + (0.333) = 2 + (333/1000) = 2333/1000

Now, we have:

7/4 - 2333/1000 - 7/12

To simplify this expression, we need to find a common denominator for all three fractions, which is 12,000:

(7/4) × (3000/3000) - (2333/1000) × (12/12) - (7/12) × (1000/1000)

28,000/12,000 - 27,996/12,000 - 8,333/12,000

Now, we can subtract the fractions:

(28,000 - 27,996 - 8,333) / 12,000 = 671/12,000

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 671:

671/12,000 = (671/671) × (1/18) = 1/18

So, the expression 1.75 - 2.1/3 - 7/12 simplifies to 1/18.

3. 1.6(2/3:5/6):4

First, we need to evaluate the division operation:

(2/3) ÷ (5/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(2/3) × (6/5) = 12/15 = 4/5

Now, we substitute the value into the expression:

1.6(4/5):4

To multiply a decimal by a fraction, we convert the decimal into a fraction:

1.6 = 16/10

Now, we can rewrite the expression:

(16/10)(4/5):4