Question

7/12 * 4/5 + 1/3 / (5/6)

Answer 1

Ответ:

13/15

Пошаговое объяснение:

1) 7/12 * 4/5 = 7/15

2) 1/3 : 5/6 = 1/3 * 6/5 = 2/5

3) 7/15 + 2/5 = 7/15 + 6/15 = 13/15

Answer 2

7/12 * 4/5 + 1/3 / (5/6) = 0.866666667

Answer 3

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, there are no parentheses or exponents, so you'll perform multiplication and division from left to right and then addition and subtraction from left to right:

1. First, multiply the fractions:

   (7/12) * (4/5) = (7 * 4) / (12 * 5) = 28/60

2. Next, simplify the fraction (28/60) by dividing both the numerator and denominator by their greatest common divisor (which is 4):

   (28/4) / (60/4) = 7/15

3. Now, divide the fractions:

   (1/3) / (5/6) = (1/3) * (6/5)

4. Multiply the fractions:

   (1/3) * (6/5) = (1 * 6) / (3 * 5) = 6/15

5. Simplify the fraction (6/15) by dividing both the numerator and denominator by their greatest common divisor (which is 3):

   (6/3) / (15/3) = 2/5

6. Finally, add the two results together:

   7/15 + 2/5

To add these fractions, you need to find a common denominator, which is 15 in this case:

(7/15) + (2/5)

To have a common denominator of 15, you can rewrite the second fraction with a denominator of 15:

(7/15) + (6/15)

Now that the denominators are the same, you can add the numerators:

(7/15) + (6/15) = (7 + 6)/15 = 13/15

So, the final result is 13/15.