Uri has 22 same-sized circles that are divided into different numbers of equal-sized parts. He shades 1/5 of the first circle. The second circle has three times as many parts as the first circle. Uri shades an equivalent fraction of the second circle. What fraction of the second circle does Uri shade?

The fraction of the second circle does Uri shade =

Step-by-step explanation:

As given,

Total number of same sized circle = 22

In first circle :

He shades of the first circle.

⇒ He divide the first circle in 5 parts and shaded 1 part.

Now,

The second circle has three times as many parts as the first circle.

⇒Total parts of second circle = 3 × 5 = 15

Now,

Given that  Uri shades an equivalent fraction of the second circle.

⇒Uri shade second circle =

∴ we get

The fraction of the second circle does Uri shade =

.

step-by-step explanation:

.

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6