Question

(13 2/7÷31/70-28,5)÷6, 75+20 2/3-19 9/10

Answer 1

НА ФОТО..............

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

To solve the given mathematical expression, let's break it down step by step:

1. (13 2/7 ÷ 31/70 - 28.5) ÷ 6: To simplify this, we'll convert the mixed numbers to improper fractions.

13 2/7 is equivalent to (7 * 13 + 2)/7 = 93/7. So the expression becomes: (93/7 ÷ 31/70 - 28.5) ÷ 6.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. (93/7 ÷ 31/70) becomes (93/7 * 70/31) = 6510/217. Now the expression is: (6510/217 - 28.5) ÷ 6.

Next, subtract 28.5 from 6510/217: (6510/217 - 28.5) = (6510/217 - 28.5 * 217/217) = (6510/217 - 6177/217) = 333/217.

Now the expression becomes: (333/217) ÷ 6. To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. (333/217) ÷ 6 becomes (333/217 * 1/6) = 333/1302 = 111/434.

So, the value of (13 2/7 ÷ 31/70 - 28.5) ÷ 6 is 111/434.

2. 75 + 20 2/3 - 19 9/10: First, let's convert the mixed numbers to improper fractions.

20 2/3 is equivalent to (3 * 20 + 2)/3 = 62/3. 19 9/10 is equivalent to (10 * 19 + 9)/10 = 199/10.

Now the expression becomes: 75 + 62/3 - 199/10.

To add or subtract fractions, we need a common denominator. The least common multiple of 3 and 10 is 30.

Converting fractions to have a common denominator: (75 * 30/30) + (62/3 * 10/10) - (199/10 * 3/3) = 2250/30 + 620/30 - 597/30.

Combining the fractions: (2250 + 620 - 597)/30 = 2273/30.

So, the value of 75 + 20 2/3 - 19 9/10 is 2273/30.