Answer:
Sarah's, 2 inches.
Step-by-step explanation:
Given:
Sarah cut off 1/8 of a 48 inch piece of ribbon.
Jane cut off 1/9 of a 36 inch piece of ribbon.
Question asked:
Whose piece is longer ?
How much longer ?
Solution:
As Sarah cut off 1/8 of a 48 inch piece of ribbon, means she has cut piece of size:
[tex]\frac{1}{8} \ of \ 48\\\frac{1}{8} \times48 = \frac{48}{8} = 6\ inches[/tex]
As Jane cut off 1/9 of a 36 inch piece of ribbon, means she has cut piece of size:
[tex]\frac{1}{9} \ of \ 36\\\frac{1}{9} \times36 = \frac{36}{9} = 4 \ inches[/tex]
As Sarah has 6 inches piece of ribbon and Jane has 4 inches piece of ribbon so Sarah's piece longer.
Now, to find it is how much longer we will subtract Jane's piece of ribbon from Sarah's piece of ribbon,
6 inches - 4 inches = 2 inches.
And hence, Sarah's piece of ribbon is 2 inches longer than Jane's piece of ribbon .