Question

4 2/3 : 14/15 - 2 8/21×1 3/4​

Answer 1

Ответ:

4 2/3 : 14/15=14/3÷14/15=14/3×15/14=15/3=5

2 8/21× 1 3/4=50/21×7/4=4 1/6

5-4 1/6=5/6

Пошаговое объяснение:

Answer 2

Ответ:

45/14

Пошаговое объяснение:

Сначала нужно преобразовать,потом сократить числа на наибольший общие делитель,то есть 14,умножить дроби ну и вычислить разность

Answer 3

To solve the expression "4 2/3 : 14/15 - 2 8/21 * 1 3/4," you should follow the order of operations (PEMDAS/BODMAS).

1. Start by simplifying the fractions within each mixed number:
   • 4 2/3 can be converted to an improper fraction as (3 * 4 + 2)/3 = 14/3.
   • 2 8/21 can be converted to an improper fraction as (21 * 2 + 8)/21 = 50/21.
   • 1 3/4 can be converted to an improper fraction as (4 * 1 + 3)/4 = 7/4.

Now the expression becomes:

(14/3) : (14/15) - (50/21 * 7/4)

2. Perform the multiplications and divisions:

   • Division: (14/3) : (14/15) is equivalent to (14/3) * (15/14) (reciprocal of the divisor), which simplifies to 5.
   • Multiplication: (50/21 * 7/4) simplifies to (50 * 7)/(21 * 4) = 350/84, and you can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 14. This reduces the fraction to 25/6.

Now the expression becomes:

5 - 25/6

3. To subtract these two fractions, you need to have a common denominator. The least common multiple (LCM) of 1 and 6 is 6. Adjust the fractions accordingly:

(5 * 6/6) - (25/6) = (30/6) - (25/6)

4. Now, subtract the fractions with the same denominator:

(30 - 25)/6 = 5/6

So, the result of the expression "4 2/3 : 14/15 - 2 8/21 * 1 3/4" is 5/6.