Question

Sarah cut off 1/8 of a 48 inch piece of ribbon. Jane cut off 1/9 of a 36 inch piece of ribbon. They compared their cut pieces. Whose piece is longer? How much longer?

Answer 1

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:

$\frac{1}{8} \ of \ 48\\\frac{1}{8} \times48 = \frac{48}{8} = 6\ inches$

As Jane cut off 1/9 of a 36 inch piece of ribbon, means she has cut piece of size:

$\frac{1}{9} \ of \ 36\\\frac{1}{9} \times36 = \frac{36}{9} = 4 \ inches$

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 .