Question

Lucy saws a wooden rod into two pieces. The larger piece is 7 3/4 inches long. The original rod was 9 1/8 inches long. How many inches long is the resulting smaller piece?(1 point)
Responses

2


16 7/8


2 5/8

1 3/8

Answer 1

Henry has a pot with 6 3/10 liters of water. He pours out 3 1/5 liters of water. How many liters of water remain in the pot?(1 point)
Responses

3 1/10
3 Start Fraction 1 over 10 End Fraction

9 1/2
9 Start Fraction 1 over 2 End Fraction

3 1/5
3 Start Fraction 1 over 5 End Fraction

2 9/10

Answer 2

To find the length of the smaller piece, we need to subtract the length of the larger piece from the original length of the rod.

Original length of the rod: 9 1/8 inches
Length of the larger piece: 7 3/4 inches

9 1/8 - 7 3/4 = 73/8 - 31/4 = (73 - 62)/8 = 11/8

So, the resulting smaller piece is 11/8 inches long.

However, this fraction can be simplified further.

11/8 = 1 3/8

Therefore, the resulting smaller piece is 1 3/8 inches long.

Answer 3

To find the amount of water remaining in the pot, we need to subtract the amount poured out from the initial amount.

Initial amount of water: 6 3/10 liters
Amount poured out: 3 1/5 liters

To subtract these mixed numbers, we need to convert them into improper fractions.

Initial amount of water: 6 3/10 = 63/10 liters
Amount poured out: 3 1/5 = 16/5 liters

Now, we subtract:

63/10 - 16/5 = (63*5 - 16*10)/50 = (315 - 160)/50 = 155/50

This fraction can be simplified further.

155/50 = 31/10 = 3 1/10

Therefore, there are 3 1/10 liters of water remaining in the pot.