
3 1/3 x / 1,5 = 4 2/7 ÷ 3/14


Ответы на вопрос

Ответ:
Пошаговое объяснение:
3. 1/3х : 1,5 = 4. 2/7 : 3/14
3. 1/3х = 1,5 * 4. 2/7 : 3/14
3. 1/3х = 1. 5/10 * 4. 2/7 : 3/14
10/3х = 15/10 * 30/7 : 3/14
10/3х = 15/1 * 3/7 : 3/14
10/3х = 45/7 : 3/14
10/3х = 45/7 * 14/3
10/3х = 15/1 * 2/1
10/3х = 30
х = 30 : 10/3
х = 30 * 3/10
х = 90/10
х = 9
Ответ: 9



Ответ:
x=9.
Пошаговое объяснение:



To solve the expression 3 1/3 x / 1.5 = 4 2/7 ÷ 3/14, we can break it down step by step. First, let's convert all the mixed numbers into improper fractions:
3 1/3 = (3 * 3 + 1) / 3 = 10/3 4 2/7 = (4 * 7 + 2) / 7 = 30/7
Now, we have the equation:
(10/3) * x / 1.5 = (30/7) ÷ (3/14)
Let's simplify the right side first by multiplying by the reciprocal of the divisor:
(10/3) * x / 1.5 = (30/7) * (14/3)
Now, we can simplify the fractions on the right side by canceling common factors:
(10/3) * x / 1.5 = (10 * 2) / 7
Now, the equation becomes:
(10/3) * x / 1.5 = 20/7
Next, multiply both sides of the equation by 1.5 to isolate x:
(10/3) * x = (20/7) * 1.5
Now, calculate the right side:
(10/3) * x = 30/7
To solve for x, multiply both sides by the reciprocal of (10/3), which is (3/10):
x = (30/7) * (3/10)
Now, multiply the fractions on the right side:
x = (90/70)
You can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor (which is 10):
x = (9/7)
So, the solution to the equation is:
x = 9/7


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