Question

А) x : 4/25 = 3/4 : 4/5 б) 7 4/5 : 2 3/5 = 4 1/2 : y в) 15.04 : 2.688= m : 26.88 решите

Answer 1

А) x ÷  $\frac{4}{25}$ =  $\frac{3}{4}$ ÷  $\frac{4}{5}$
x ×  $\frac{25}{4}$ =  $\frac{3}{4}$ ×  $\frac{5}{4}$
$\frac{25x}{4}$ =  $\frac{15}{16}$
25x × 16 = 4 × 15
400x = 60; 
x =  $\frac{60}{400}$ = 0,15

б)  $7 \frac{4}{5}$ ÷  $2 \frac{3}{5}$ =  $4 \frac{1}{2}$ ÷ y
7,8 ÷ 2,6 = 4,5 ×  $\frac{1}{y}$
$\frac{3}{1}$ =  $\frac{4,5}{y}$
3 × y = 4,5 × 1
3y = 4,5; 
y =  $\frac{4,5}{3}$ =  $\frac{45}{30}$ =  $1 \frac{1}{2}$ = 1,5

3. $\frac{15,04}{2,688}$ =  $\frac{m}{26,88}$
15,04 × 26,88 = 2,688 × m
2,688m = 404,2752; 
m =  $\frac{404,2752}{2,688}$ =  $\frac{404275,2}{2688}$ =  150,4

Answer 2

А) х : 4/25 = 3/4 : 4/5;
х * 25/4 = 3/4;
25х/4 = 3;
25х = 3;
х = 3/25 = 0,12.
б) 74/5 : 23/5 = 41/2 : у;
74/5 * 5/23 = 41/2 * 1/у;
74/23 = 41/2у;
148у = 943;
у = 943/148 ≈ 6,4.
в) 15,04 : 2,688 = m : 26,88;
m = (15,04 * 26,88)/2,688 = 150,4

Answer 3

А) To solve the equation x : (4/25) = (3/4) : (4/5), we can simplify both sides:

x : (4/25) = (3/4) : (4/5)

First, let's simplify the right side:

(3/4) : (4/5) = (3/4) * (5/4) [Invert the second fraction and multiply] = (3 * 5) / (4 * 4) = 15/16

Now, substitute this value back into the equation:

x : (4/25) = 15/16

To solve for x, we can multiply both sides by (4/25):

x = (15/16) * (4/25) = (15 * 4) / (16 * 25) = 60/400 = 3/20

Therefore, the solution to the equation is x = 3/20.

---

б) To solve the equation (7 4/5) : (2 3/5) = (4 1/2) : y, we need to convert the mixed numbers into improper fractions:

(7 4/5) : (2 3/5) = (39/5) : (13/5)

Now, we can simplify both sides:

(39/5) : (13/5) = (39/5) * (5/13) [Invert the second fraction and multiply] = (39 * 5) / (5 * 13) = 195/65 = 3

Now, substitute this value back into the equation:

3 = (4 1/2) : y

To solve for y, we can rewrite the equation as:

(4 1/2) = 3 * y

Now, convert the mixed number to an improper fraction:

(4 1/2) = (9/2)

Substitute this value back into the equation:

(9/2) = 3 * y

To solve for y, we can divide both sides by 3:

(9/2) / 3 = y

(9/2) * (1/3) = y

(9 * 1) / (2 * 3) = y

9/6 = y

Simplify the fraction:

y = 3/2

Therefore, the solution to the equation is y = 3/2.

---

в) To solve the equation 15.04 : 2.688 = m : 26.88, we can simplify both sides:

15.04 : 2.688 = m : 26.88

To solve for m, we can cross-multiply:

(15.04)(26.88) = (2.688)(m)

404.6592 = 2.688m

Now, divide both sides by 2.688 to isolate m:

m = 404.6592 / 2.688

m ≈ 150.4559

Therefore, the solution to the equation is m ≈ 150.4559.