Question

1(целых)2/3+4*(3(целых)3/4-5/6)делить 6(целых)4/11

Answer 1

Ответ: 1) 3 3/4-5/6=3+4,5/6-5/6=3-0,5/6=3-1/12=35/12

2) 4*35/12=35/3.

3)35/3:6 4/11=35/3:70/11=35*11/(3*70)=385/210=1 175/210=1 35/42=1 5/6.

4)  1 2/3+1 5/6=2+(4+5)/6=2+1 1/2=3 1/2.

Пошаговое объяснение:

Answer 2

$\displaystyle \tt 1\frac{2}{3}+4\cdot\bigg(3\frac{3}{4}-\frac{5}{6}\bigg)\div6\frac{4}{11}=\frac{5}{3}+4\cdot\bigg(\frac{15}{4}-\frac{5}{6}\bigg)\div\frac{70}{11}=\\\\\\ \displaystyle \tt =\frac{5}{3}+4\cdot\bigg(\frac{45}{12}-\frac{10}{12}\bigg)\cdot\frac{11}{70}=\frac{5}{3}+4\cdot\frac{35}{12}\cdot\frac{11}{70}=\frac{5}{3}+\frac{35}{3}\cdot\frac{11}{70}=\\\\\\ \displaystyle \tt =\frac{5}{3}+\frac{55}{30}=\frac{50}{30}+\frac{55}{30}=\frac{105}{30}=\bold{3,5}$

Answer 3

To simplify the expression, let's perform the operations step by step:

Step 1: Perform the operations inside parentheses first.

3(целых)3/4 - 5/6 = (3 * 4 + 3)/4 - 5/6 = (12 + 3)/4 - 5/6 = 15/4 - 5/6

Step 2: Find the common denominator for the fractions in Step 1, which is 12.

15/4 - 5/6 = (15 * 3)/(4 * 3) - (5 * 2)/(6 * 2) = 45/12 - 10/12

Step 3: Subtract the fractions in Step 2.

45/12 - 10/12 = (45 - 10)/12 = 35/12

Step 4: Perform the multiplication and division from left to right.

1(целых)2/3 + 4 * (35/12) / 6(целых)4/11

1(целых)2/3 + (4 * 35/12) / 6(целых)4/11

1(целых)2/3 + (35/3) / 6(целых)4/11

Step 5: Divide the whole numbers by converting them to fractions with the same denominator as the previous step, which is 3 * 11 = 33.

1(целых)2/3 = (1 * 3 + 2)/3 = 5/3

6(целых)4/11 = (6 * 11 + 4)/11 = 70/11

Step 6: Now we have:

5/3 + (35/3) / 70/11

Step 7: Invert the denominator of the division and convert it to multiplication.

5/3 + (35/3) * 11/70

Step 8: Find the common denominator, which is 210.

5/3 + (35/3) * (11 * 3)/(70 * 3)

5/3 + 105/210

Step 9: Add the fractions.

5/3 + 1/2 = (5 * 2)/(3 * 2) + 1/2 = 10/6 + 3/6 = 13/6

So, the simplified expression is 13/6.