Can you check teh following?
1. Jill has 3 yards of cotton. She needs 3/4 yard for each skirt she makes. How many skirts can she make?
Ans: 3/(3/4) = 3(4/3) = 4 skirts
2. For a party, 8 sandwiches are being made. If each sandwich is cut into thirds,how many sandwich pieces are there?
Ans: 8/(1/3) = 8(3) = 24 sandwiches
3. Ken uses 1/3 can of wet dog food for his dog, Muddy, each day. How many servings will he get from 5 cans of dog food?
Ans: 5/(1/3) = 5(3) = 15 servings
4. Lori has 3 cups of granola. A serving size of granola is 1/4 cup. How many servings of granola does Lori have?
Ans: 3/(1/4) = 3(4) = 12 servings
5. Bill cuts a 10-inch-long wire into pieces that are 4/5 inch long. How many pieces does he have
Ans: 10/(4/5) = 10(5/4) = 25/2 = 12 1/2 pieces
Great! All of your answers are correct.
looks good
in the last one, would 1/2 of a piece be allowed ? If not, then you only have 12 pieces.
Thanks for checking. Also, for mentioning the 1/2 in #5.
To solve each of these questions, we can use a simple technique called "division." Here's how you can solve each problem step by step:
1. To find out how many skirts Jill can make, we need to divide the number of yards of cotton she has (3) by the amount of cotton needed for each skirt (3/4 yard). So the equation would be: 3/(3/4). Now, we can simplify this equation by multiplying the numerator (3) by the reciprocal of the denominator (4/3). The result is 3*(4/3), which equals 12/3 or 4 skirts.
2. In this case, we have 8 sandwiches, and each sandwich is cut into thirds. To find out the total number of sandwich pieces, we need to divide the number of sandwiches (8) by the number of pieces in each sandwich (1/3). So the equation would be: 8/(1/3). To simplify this equation, we multiply the numerator (8) by the reciprocal of the denominator (3/1). The result is 8*(3/1), which equals 24 sandwich pieces.
3. Ken uses 1/3 can of wet dog food each day, and he has 5 cans of dog food. To find out how many servings he will get, we divide the number of cans (5) by the amount used per day (1/3). So the equation would be: 5/(1/3). Simplifying this equation, we multiply the numerator (5) by the reciprocal of the denominator (3/1). The result is 5*(3/1), which equals 15 servings.
4. Lori has 3 cups of granola, and each serving size is 1/4 cup. To find out how many servings she has, we divide the amount of granola she has (3) by the serving size (1/4). So the equation would be: 3/(1/4). Simplifying this equation, we multiply the numerator (3) by the reciprocal of the denominator (4/1). The result is 3*(4/1), which equals 12 servings.
5. Bill cuts a wire that is 10 inches long into pieces that are 4/5 inch long. To find out the number of pieces he has, we divide the total length of the wire (10 inches) by the length of each piece (4/5 inch). So the equation would be: 10/(4/5). Simplifying this equation, we multiply the numerator (10) by the reciprocal of the denominator (5/4). The result is 10*(5/4), which equals 50/4 or 12 1/2 pieces.
By following these steps, you can solve similar problems where division is involved.