Question

2/5 * 7 + 1/6 * 8 - 3/4 : 2 1/2​

Answer 1

Ответ:

Пошаговое объяснение:

2/5*7=14/5=2 4/5

1/6*8=8/6=4/3

3/4:2 1/2=3/4*2/5=3/10

2 4/5+4/3=2 12/15+20/15=4 2/15

4 2/15-3/10=4 4/30-9/30=3 5/6

Answer 2

Ответ:

3 5/6

Пошаговое объяснение:

2/5*7=14/5=2 4/5

1/6*8=8/6=4/3

3/4:2 1/2=3/4*2/5=3/10

2 4/5+4/3=2 12/15+20/15=4 2/15

4 2/15-3/10=4 4/30-9/30=3 5/6

Answer 3

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) and perform the operations step by step:

1. First, simplify the fractions:

   • 2/5 * 7 = 14/5
   • 1/6 * 8 = 4/3
   • 3/4 ÷ 2 1/2 = To divide fractions, you need to invert and multiply. Convert 2 1/2 to an improper fraction: 5/2. So, (3/4) ÷ (5/2) = (3/4) * (2/5) = 6/20 = 3/10.

2. Now, rewrite the expression with the simplified fractions: 14/5 + 4/3 - 3/10

3. Find a common denominator, which is 30 in this case, and convert the fractions:

   • 14/5 = (14/5) * (6/6) = 84/30
   • 4/3 = (4/3) * (10/10) = 40/30
   • 3/10 = (3/10) * (3/3) = 9/30

4. Now, the expression becomes: 84/30 + 40/30 - 9/30

5. Add and subtract the fractions: (84/30 + 40/30) - 9/30 = 124/30 - 9/30

6. Finally, subtract the fractions: (124/30 - 9/30) = 115/30

So, the simplified result of the expression is 115/30, which can be further reduced to 23/6 in its simplest form.