Question

2 4/13*(4/5-7/12)-7:3 1/2​

Answer 1

2 4/13*(4/5-7/12)-7:3 1/2​=-1.5

1)4/5-7/12=48/60-35/60=13/60

2)2 4/13*13/60=30/13*13/60=1/2

3)7:3 1/2=7:7/2=7*2/7=2

4)1/2-2=-1.5

Answer 2

Ответ:

Пошаговое объяснение:

1)$\frac{4}{5}-\frac{7}{12}=\frac{48}{60}-\frac{35}{60}=\frac{13}{60}$

2)$2\frac{4}{13}*\frac{13}{60}=\frac{30}{13}*\frac{13}{60}=\frac{1}{2}$

3)$7:3\frac{1}{2}=\frac{7}{1}:\frac{7}{2}=\frac{7}{1}*\frac{2}{7}=\frac{2}{1}=2$

4)$\frac{1}{2}-2=\frac{1}{2}-\frac{2}{1}=\frac{1}{2}-\frac{4}{2}=-\frac{3}{2}=-1\frac{1}{2}=-1.5$

Answer 3

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Given expression: 2 * 4/13 * (4/5 - 7/12) - 7 ÷ 3 1/2

Step 1: Solve the expression within parentheses first: 4/5 - 7/12 To subtract fractions, we need a common denominator, which is 60 (the least common multiple of 5 and 12): (4/5)(12/12) - (7/12)(5/5) (48/60) - (35/60) = (48 - 35)/60 = 13/60

So, the expression within parentheses becomes: 4/13 * (13/60)

Step 2: Multiply the fractions within parentheses: 4/13 * 13/60 = (4 * 13)/(13 * 60) = 52/780 = 13/195

Now the expression becomes: 2 * 13/195 - 7 ÷ 3 1/2

Step 3: Divide the mixed number (7 1/2): 7 ÷ 3 1/2 First, convert the mixed number to an improper fraction: 7 1/2 = (2 * 7 + 1)/2 = 15/2

Now, divide: 7 ÷ 3 1/2 = 7 ÷ (15/2) To divide by a fraction, multiply by its reciprocal: = 7 * (2/15) = 14/15

Now, the expression becomes: 2 * 13/195 - 14/15

Step 4: Multiply 2 by 13/195: 2 * 13/195 = 26/195

The final expression is: 26/195 - 14/15

Step 5: Find a common denominator for both fractions: The least common multiple of 195 and 15 is 195.

Rewrite the fractions with the common denominator: 26/195 - (14/15) * (13/13)

Step 6: Perform the subtraction and multiplication: 26/195 - (182/195) To subtract fractions, they need to have the same denominator: = (26 - 182)/195 = -156/195 = -52/65

The final result is -52/65.