Question

( 7 - 33 / 4 )*( 11 /21 -17/21)*1 1/2+1 1/4 + 1/6 ​

Answer 1

Ответ:

(7-33/4)*(11/21-17/21)*11/2+11/4+1/6;

(7-33/4)=7-8,25=-1,25;

(11/21-17/21)=0,52-0,8=-0,28;

-1,25*(-0,28)=0,35;

11/2+11/4+1/6=5,5+2,75+0,16=8,41;

0,35*8,41=2,94~3

Answer 2

Let's break down the expression step by step:

1. First, calculate the values inside the parentheses: (7 - 33/4) = (28/4 - 33/4) = (-5/4)

2. Next, calculate the values inside the second set of parentheses: (11/21 - 17/21) = (-6/21) = (-2/7)

3. Now, multiply the values from step 1 and step 2: (-5/4) * (-2/7) = (10/28) = (5/14)

4. Calculate 1 1/2 as an improper fraction: 1 1/2 = (2/2 + 1/2) = (3/2)

5. Calculate 1 1/4 as an improper fraction: 1 1/4 = (4/4 + 1/4) = (5/4)

6. Add the fractions from step 3, step 4, and step 5: (5/14) + (3/2) + (5/4)

To add these fractions, you need to find a common denominator, which in this case is 28:

(5/14) + (3/2) + (5/4) = (10/28) + (42/28) + (35/28)

Now, add the numerators:

(10/28) + (42/28) + (35/28) = (10 + 42 + 35) / 28 = 87/28

Finally, simplify the fraction if necessary:

87/28 = (3 * 29) / (4 * 7) = (3/4) * (29/7)

So, the simplified result is:

(3/4) * (29/7) = (3 * 29) / (4 * 7) = 87/28