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
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.
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
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.