Question

(2 1/6 - 2/3) * ( 1 - 7/15)= что меньше 5 часть или 18% учащихся?

Answer 1

(21/6-4/6)*(15/15-7/15)=17/6 * 8/15=

= 17/3 * 4/15= 68/45= 1 23/45

5 часть > 18 % учащихся

Так как пятая часть это 0,2 а 18% это 0,18

0,2>0,18

Answer 2

Let's start by simplifying the expression:

(2 1/6 - 2/3) * (1 - 7/15)

To simplify this expression, we need to find a common denominator for the fractions involved. The common denominator for 6 and 3 is 6. So, let's convert 2 1/6 into an improper fraction:

2 1/6 = (2 * 6 + 1) / 6 = 13 / 6

Now, the expression becomes:

(13/6 - 2/3) * (1 - 7/15)

Next, we find a common denominator for 6 and 3, which is 15. So, we need to convert 2/3 into a fraction with a denominator of 15:

2/3 = (2 * 5) / 15 = 10/15

Now, the expression becomes:

(13/6 - 10/15) * (1 - 7/15)

To simplify further, let's find a common denominator for 6 and 15, which is 30:

13/6 = (13 * 5) / 30 = 65/30

10/15 = (10 * 2) / 30 = 20/30

The expression becomes:

(65/30 - 20/30) * (1 - 7/15)

Now, we can subtract the fractions:

(45/30) * (8/15)

Next, we simplify the fractions:

45/30 = 3/2

8/15 remains the same.

The expression now becomes:

(3/2) * (8/15)

Now, let's multiply the fractions:

(3 * 8) / (2 * 15) = 24 / 30

To further simplify, we can find a common factor for 24 and 30, which is 6:

24/30 = (24/6) / (30/6) = 4/5

So, the expression simplifies to:

4/5

Now, we compare 4/5 to 18%. To compare fractions to percentages, we need to convert the fraction to a percentage:

4/5 = 0.8

Now, we can compare 0.8 to 18%. We know that 1% is smaller than 5%, and 18% is larger than 5%. Therefore, 0.8 (which is smaller than 1%) is also smaller than 18%.

To summarize, 4/5 is smaller than 18%.