Question

1) 11 3/4 - 3 5/8 + 5/8 : 5/7 = ? 2) 17 11/13 - 17 + 2/5 * 15/26 = ? 3) 3 7/11 : ( 2/11 + 2 4/17) = ? 4)6,72 : ( 31/7 - 12/35) = ? ПОМОГИТЕЕЕЕЕЕЕЕЕЕ СРОЧНОООООО

Answer 1

47/4-29/8+5/8*7/5

47/4-29/8+1/8*7

47/4-29/8+7/8

9

232/13-17+3/13

14/13

40/11÷(2/11+38/17)

40/11÷452/187

40/11*187/452

10*17/113

170/113

168/25÷143/35

168/25*35/143

168/5*7/143

1176/715

Answer 2

Sure, I'd be happy to help you solve these mathematical expressions step by step:

1. 11 3/4 - 3 5/8 + 5/8 : 5/7

Step 1: Convert mixed numbers to improper fractions: 11 3/4 = (4 * 11 + 3) / 4 = 47 / 4 3 5/8 = (8 * 3 + 5) / 8 = 29 / 8

Step 2: Find the common denominator for the fractions involved (which is 8 in this case).

Step 3: Perform the operations:

11 3/4 - 3 5/8 + 5/8 : 5/7 = 47/4 - 29/8 + (5/8) * (7/5) [dividing by a fraction is equivalent to multiplying by its reciprocal] = 47/4 - 29/8 + 35/40 = (47 * 2 - 29) / 8 + 35/40 = (94 - 29) / 8 + 35/40 = 65/8 + 35/40 = (65 * 5) / (8 * 5) + 35/40 [finding a common denominator] = 325/40 + 35/40 = (325 + 35) / 40 = 360 / 40 = 9

So, the answer is 9.

2. 17 11/13 - 17 + 2/5 * 15/26

Step 1: Convert mixed numbers to improper fractions: 17 11/13 = (13 * 17 + 11) / 13 = 235 / 13

Step 2: Find the common denominator for the fractions involved (which is 5 * 26 = 130 in this case).

Step 3: Perform the operations:

17 11/13 - 17 + 2/5 * 15/26 = 235/13 - 17 + (2/5) * (15/26) = 235/13 - 17 + 30/130 = 235/13 - (2210/130) + 30/130 = (235 * 10 - 2210 + 30) / 130 = (2350 - 2210 + 30) / 130 = 170 / 130 = 17/13 = 1 4/13

So, the answer is 1 4/13.

3. 3 7/11 : (2/11 + 2 4/17)

Step 1: Convert mixed numbers to improper fractions: 3 7/11 = (11 * 3 + 7) / 11 = 40 / 11 2 4/17 = (17 * 2 + 4) / 17 = 38 / 17

Step 2: Perform the operations inside the parentheses first:

2/11 + 2 4/17 = 2/11 + 38/17 [finding a common denominator] = (2 * 17 + 38) / 17 = (34 + 38) / 17 = 72 / 17

Step 3: Perform the division:

3 7/11 : (2/11 + 2 4/17) = 40 / 11 : (72 / 17) [converting the mixed number to an improper fraction] = 40 / 11 * 17 / 72 [dividing by a fraction is equivalent to multiplying by its reciprocal] = (40 * 17) / (11 * 72) = 680 / 792

Now, we can simplify the fraction:

680 / 792 = 10 / 12 = 5 / 6

So, the answer is 5/6.

4. 6.72 : (31/7 - 12/35)

Step 1: Convert the decimal to a fraction: 6.72 = 6 + 0.72 = 6 + 72/100 = 6 + 18/25 = (150 * 6 + 18) / 25 = 918 / 25

Step 2: Find a common denominator for the fractions involved (which is 35 in this case).

Step 3: Perform the operations:

6.72 : (31/7 - 12/35) = 918/25 : (31/7 - 12/35) = 918/25 : (35/7 - 12/35) [converting 31/7 to have a common denominator] = 918/25 : (35/7 - 12/35) = 918/25 : (175/35 - 12/35) [converting 35/7 to have a common denominator] = 918/25 : (163/35) [combining the fractions inside the parentheses] = 918/25 * 35/163 [dividing by a fraction is equivalent to multiplying by its reciprocal] = (918 * 35) / (25 * 163) = 32130 / 4075

Now, we can simplify the fraction:

32130 / 4075 = 42 / 5

So, the answer is 42/5.

I hope this helps! If you have any further questions or need more assistance, feel free to ask.