3/5×(2 2/3÷3 1/5)
1 1/8×(9 1/3÷1 3/4)
Помогите, кто поможет тому 50 балов ПОМОГИТЕ желательно фото)))
Ответы
To solve the first expression, we start by converting the mixed numbers to improper fractions:
2 2/3 = 8/3
3 1/5 = 16/5
Now we can divide:
8/3 ÷ 16/5
When dividing fractions, we invert the second fraction and multiply:
8/3 * 5/16
Multiplying across, we get:
40/48
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8:
40/48 = 5/6
So, the value of the first expression is 5/6.
Now let's move on to the second expression:
1 1/8 = 9/8
9 1/3 = 28/3
1 3/4 = 7/4
Now we can divide:
(9/8) ÷ (28/3) ÷ (7/4)
To divide fractions, we multiply by the reciprocal:
(9/8) * (3/28) * (4/7)
Multiplying across, we get:
(9*3*4) / (8*28*7)
Evaluating the numerator and denominator separately:
9*3*4 = 108
8*28*7 = 1568
So, the value of the second expression is 108/1568.
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
108/1568 = 27/392
Thus, the value of the second expression is 27/392