Question

2-(7 1/3- 6 7/8) : 3/4 решите

Answer 1

Ответ:

1 7\18

Пошаговое объяснение:

решим по действиям

7 1\3 -6 7\8=7 8\24-6 21\24=6 32\24-6 21\24=11\24

11\24:3\4=11\24*4\3=11\18

2-11\18=1 18\18-11\18=1 7\18

Answer 2

Пошаговое объяснение:

сначала сделаем скобки

$7 \times \frac{1}{3} - 6 \times \frac{7}{8} = \frac{22}{3} - \frac{55}{8}$

сделаем общий у них знаменательный и вычтем

$\frac{176 - 165}{24} = \frac{11}{24}$

затем делаем деление

$\frac{11}{24} \div \frac{3}{4} = \frac{11 \times 4}{24 \times 3} = \frac{11}{6 \times 3} = \frac{11}{18}$

теперь из 2 вычтем

$2 - \frac{11}{18} = 1 \times \frac{18}{18} - \frac{11}{18} = 1 \times \frac{7}{18}$

Answer 3

To solve the expression, let's first simplify the term inside the parentheses:

7 1/3 - 6 7/8

To subtract mixed fractions, we need to find a common denominator. The common denominator for 3 and 8 is 24. So, let's convert both fractions to have a denominator of 24:

7 1/3 = (7 * 3 + 1) / 3 = 22 / 3 6 7/8 = (6 * 8 + 7) / 8 = 55 / 8

Now, subtract the fractions:

22/3 - 55/8

To find the common denominator for 3 and 8, we multiply them together: 3 * 8 = 24

Now, let's convert both fractions to have a denominator of 24:

(22/3) * (8/8) = 176/24 (55/8) * (3/3) = 165/24

Now, subtract the fractions:

(176/24) - (165/24) = (176 - 165) / 24 = 11 / 24

Now, let's solve the whole expression:

2 - (11/24) ÷ (3/4)

To divide by a fraction, we multiply by its reciprocal:

2 - (11/24) * (4/3)

Now, multiply:

2 - (44/72)

To subtract fractions, we need to find a common denominator. The common denominator for 1 and 72 is 72. So, let's convert 2 to have a denominator of 72:

2 = 2 * (72/72) = 144/72

Now, subtract the fractions:

144/72 - 44/72 = (144 - 44) / 72 = 100 / 72

Finally, we can simplify the fraction:

100/72 = 25/18

So, the solution to the expression is:

2 - (7 1/3 - 6 7/8) ÷ 3/4 = 25/18