Can you check the following?
3. Lily is cutting a roll of cookies into slices that are 3/8 inch thick. If the roll is 10 1/2 inches long, how many slices can she cut?
Ans: (21/2)/(3/8) = (21/2 )* (8/3) = 28 slice
5. Amy has painted 3/4 of a room. She has used 1 1/2 gallons of paint. How much pant will she need for the whole room?
Ans: (3/2)/(3/4) = (3/2)*(4/3) = 2 gallons
6. Sam's pet eats 1/8 pound of food every day. If he buys a 3-poudn bag, how many days will that bag last?
Ans: 3/(1/8) = 3*8 = 24 days
Great! All are right!
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To check the calculations for each question, we need to perform some basic arithmetic operations. Let's go through each calculation step by step to verify the answers.
1. Lily is cutting a roll of cookies into slices that are 3/8 inch thick. If the roll is 10 1/2 inches long, how many slices can she cut?
To find the number of slices Lily can cut, divide the length of the roll by the thickness of each slice:
(10 1/2) ÷ (3/8)
To simplify the division of mixed numbers, convert the mixed number to an improper fraction:
(21/2) ÷ (3/8)
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
(21/2) × (8/3)
The resulting calculation is:
(21/2) × (8/3) = 28
So, Lily can cut 28 slices from the roll of cookies.
2. Amy has painted 3/4 of a room. She has used 1 1/2 gallons of paint. How much paint will she need for the whole room?
To find out how much paint Amy will need for the whole room, we need to determine the ratio of paint used to the portion of the room painted. This ratio will be equal to the ratio of paint needed to the full room.
To find the ratio of paint, divide the amount of paint used by the portion of the room painted:
(1 1/2) ÷ (3/4)
To simplify the division of mixed numbers, convert the mixed number to an improper fraction:
(3/2) ÷ (3/4)
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
(3/2) × (4/3)
The resulting calculation is:
(3/2) × (4/3) = 2
So, Amy will need 2 gallons of paint for the whole room.
3. Sam's pet eats 1/8 pound of food every day. If he buys a 3-pound bag, how many days will that bag last?
To find out how many days the 3-pound bag of food will last, we need to divide the weight of the bag by the amount of food consumed per day:
3 ÷ (1/8)
To divide by a fraction, multiply the first number by the reciprocal of the fraction:
3 × (8/1)
The resulting calculation is:
3 × 8 = 24
So, the 3-pound bag of food will last Sam's pet for 24 days.
Based on the calculations, the answers provided are correct.