Question

5 3/5 :3 1/2=5 1/4 : x​

Answer 1

Ответ:

5 3/5:3 1/2=5 1/4 : X

28/5:7/2=21/4:х

28/5*2/7=21/4:х

х=21/4:8/5

х=21/4*5/8

х=105/32

х=3 9/32

Пошаговое объяснение:

Answer 2

To solve for x in the equation:

(5 3/5) / (3 1/2) = (5 1/4) / x

First, convert the mixed numbers to improper fractions:

(28/5) / (7/2) = (21/4) / x

Now, invert the fraction on the right side and multiply:

(28/5) / (7/2) = (21/4) * (2/7)

Now, simplify both sides:

(28/5) * (2/7) = (21/4) * (1/x)

Now, multiply the fractions on both sides:

(28 * 2) / (5 * 7) = (21 * 1) / (4 * x)

56 / 35 = 21 / (4x)

Now, cross-multiply:

56 * 4x = 21 * 35

224x = 735

Now, solve for x by dividing both sides by 224:

x = 735 / 224

x ≈ 3.28 (rounded to two decimal places)

So, the value of x is approximately 3.28.