Question

Имеютя полотенца трёх размеров.Длина первого равна 3/4 м,что составляет 3/5 длины второго.Длина третьего полотенца составляет 5/12 суммы длин первых двух.Какую часть длина третьего полотенца составляет от длины второго? Просто дома не могу сосредоточится а так бы сам смог

Answer 1

) 1 метр = 100 см
2) 100 * 3/4 = 100 * 3 : 4 = 75 см длина одного полотенца
3) 75 : 3/5 = 75 : 3 * 5 = 125 см длина второго полотенца
4) 75 + 125 = 200 см длина двух полотенец
5) 200 * 5/12 = 200 * 5 : 12 = 83,33 см = 83 1/3 см третье полотенце
6) 83,33/125 = 2/3 части от длины второго составляет третье

Answer 2

Problem Analysis

We are given three towels with different lengths. The length of the first towel is 3/4 of a meter, which is equal to 3/5 of the length of the second towel. The length of the third towel is 5/12 of the sum of the lengths of the first two towels. We need to determine what fraction of the length of the second towel the length of the third towel represents.

Solution

Let's solve this problem step by step.

1. Let's assume the length of the second towel is x meters. 2. According to the given information, the length of the first towel is 3/5 of the length of the second towel. Therefore, the length of the first towel is (3/5) * x meters. 3. The length of the third towel is 5/12 of the sum of the lengths of the first two towels. The sum of the lengths of the first two towels is (3/5) * x + x meters. Therefore, the length of the third towel is (5/12) * ((3/5) * x + x) meters. 4. We need to find the fraction of the length of the third towel compared to the length of the second towel. To do this, we divide the length of the third towel by the length of the second towel and simplify the expression.

Let's calculate the fraction:

Length of the third towel = (5/12) * ((3/5) * x + x)

Length of the second towel = x

Fraction = (Length of the third towel) / (Length of the second towel)

Fraction = [(5/12) * ((3/5) * x + x)] / x

Simplifying the expression:

Fraction = (5/12) * ((3/5) + 1)

Fraction = (5/12) * (8/5)

Fraction = (5/12) * (8/5)

Fraction = 40/60

Fraction = 2/3

Therefore, the length of the third towel represents 2/3 of the length of the second towel.

Answer

The length of the third towel represents 2/3 of the length of the second towel.