Aiden folded a strip of paper into fourths.
Then, he shaded
1
4
of the strip. After that, he folded an identical strip into eighths and shaded the same amount of this strip.
What fraction of the second strip did Aiden shade? Use the picture of his first strip below to help you.
A rectangle is divided into four equal parts, with one of the parts shaded.
A.
3
4
B.
1
2
C.
2
8
D.
3
8
The shaded part of Aiden's first strip is 1/4.
To shade the same fraction of the second strip, we need to find the number of parts in each eighth that corresponds to 1/4 of a fourth.
1/4 of a fourth is equivalent to 1/16 of the whole second strip, since there are 4 fourths in the strip and 4 x 4 = 16 eighths in the second strip.
Therefore, Aiden shaded 1/16 of the second strip. The answer is (C) 2/8, which simplifies to 1/4.