Question

Monica has a 24-inch square frame. There are 4 equal sides. She paints 3/4 of one side of the frame blue. What fraction of the frame did Monica paint blue?

Answer 1

She painted 3/16 of the frame.

Answer 2

Answer:

Monica painted $\frac{3}{16}$ of the frame blue.

Step-by-step explanation:

Monica has a 24-inch square frame.There are 4 equal sides. She paints 3/4 of one side of the frame blue.

The perimeter of square is given as = 4s where s is the side length.

Here, perimeter is 24 inches.

So, side will be:

$4s=24$

Dividing both sides by 4;

s = 6

So, we get the side of the frame as 6 inches.

Now Monica painted 3/4 of 6 inches.

This value becomes : $\frac{3}{4}\times6 =4.5$ and in fraction it is $\frac{9}{2}$

This is part of 24 inches.

So, the fraction will be : $\frac{\frac{9}{2} }{24}$

= $\frac{9}{2} \times\frac{1}{24}$ = 3/16

Hence, Monica painted $\frac{3}{16}$ of the frame blue.