Question

(16 1/5 - 1 14/15) : (1 5/7+ 3 8/21)=

Answer 1

Ответ:

2 4/5

Пошаговое объяснение:

(16 1/5 - 1 14/15) : (1 5/7+ 3 8/21)= 2 4/5

1)16 1/5 - 1 14/15=14 4/15

2)1 5/7+ 3 8/21=5 2/21

3)14 4/15:5 2/21=2 4/5

Answer 2

To solve the expression (16 1/5 - 1 14/15) : (1 5/7 + 3 8/21), we need to convert the mixed numbers into improper fractions and then perform the arithmetic operations.

Let's convert the mixed numbers to improper fractions:

16 1/5 = (16 * 5 + 1) / 5 = 81/5 1 14/15 = (1 * 15 + 14) / 15 = 29/15 1 5/7 = (1 * 7 + 5) / 7 = 12/7 3 8/21 = (3 * 21 + 8) / 21 = 71/21

Now we can substitute the values and perform the operations:

(81/5 - 29/15) / (12/7 + 71/21)

To simplify the expression, we find a common denominator for the fractions within each set of parentheses:

(243/15 - 29/15) / (36/21 + 71/21)

Now we can subtract the fractions within the first set of parentheses:

214/15 / (36/21 + 71/21)

To add the fractions within the second set of parentheses, we find a common denominator:

214/15 / (107/21 + 71/21)

Now we can add the fractions within the second set of parentheses:

214/15 / 178/21

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

214/15 * 21/178

Multiplying the numerators and denominators:

(214 * 21) / (15 * 178) = 4494/2670

The fraction 4494/2670 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6:

4494/2670 = (6 * 749/6 * 445) = 749/445

Therefore, (16 1/5 - 1 14/15) : (1 5/7 + 3 8/21) equals 749/445.