Question

Число K составляет 4/5 от числа L, число L равно 7/9 от числа M, число N представляет собой треть числа M, а число P в полтора раза меньше от числа N. Чему равно отношение K: P?

Answer 1

Ответ:

28

Пошаговое объяснение:

К=4/5*7/9М=28/45М=28/15N=28/15*15P=28P

K:P=28

Answer 2

Problem Analysis

We are given the following information: - The number K is 4/5 of the number L. - The number L is 7/9 of the number M. - The number N is one-third of the number M. - The number P is one and a half times smaller than the number N.

We need to find the ratio of K to P.

Solution

Let's solve this step by step.

1. We know that K is 4/5 of L. So, we can write the equation: K = (4/5) * L.

2. We also know that L is 7/9 of M. So, we can write the equation: L = (7/9) * M.

3. We know that N is one-third of M. So, we can write the equation: N = (1/3) * M.

4. We know that P is one and a half times smaller than N. So, we can write the equation: P = N - (1.5 * N).

Now, let's substitute the values of L and N in terms of M into the equation for K and P.

Substituting L = (7/9) * M into the equation for K, we get:

K = (4/5) * (7/9) * M.

Substituting N = (1/3) * M into the equation for P, we get:

P = (1/3) * M - (1.5 * (1/3) * M).

Simplifying the equations, we have:

K = (28/45) * M.

P = (1/3) * M - (1/2) * M.

Now, let's find the ratio of K to P:

K:P = (28/45) * M : [(1/3) * M - (1/2) * M].

Simplifying further, we get:

K:P = (28/45) : (1/6).

To find the ratio, we need to simplify the fraction (28/45) : (1/6).

Calculation

To simplify the fraction (28/45) : (1/6), we can multiply both the numerator and denominator of the first fraction by 6:

K:P = (28/45) * (6/6) : (1/6).

Simplifying further, we get:

K:P = (168/270) : (1/6).

Now, let's simplify the fraction (168/270) : (1/6):

K:P = (168/270) * (6/1).

Simplifying further, we get:

K:P = 1008/270.

Finally, let's simplify the fraction 1008/270:

K:P = 56/15.

Therefore, the ratio of K to P is 56:15.

Answer

The ratio of K to P is 56:15.