Notes

A serving of applesauce is 3/16 cup. How many servings of applesauce would be in 5/8 of a cup?
SOLUTION:
The solution to this problem is found by dividing 5/8÷3/16.
Write the reciprocal of the divisor, 3/16, which is 16/3 to give 5/8×16/3.
Reduce terms to get 5/1×2/3 and then multiply to get 10/3. Rename 10/3 as 3 1/3.
There are 3 1/3 servings of applesauce.
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It takes 1/8 cup of peanut butter to make a peanut butter and jelly sandwich. How many sandwiches can be made with 3/4 cup of peanut butter?
SOLUTION:
The solution to this problem is found by dividing 3/4÷1/8.
Write the reciprocal of the divisor, 1/8, which is 8/1 to give 3/4×8/1.
Reduce terms to get 3/1×2/1, and then multiply to get 6/1. Rename 6/1 as 6.
Six sandwiches can be made.
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Johan has 4 2/3 pounds of blueberries. He wants to make 9 batches of muffins, and wants to distribute the blueberries evenly in each batch. Determine if the following expressions can be used to find how many pounds of blueberries are in each batch.
(14/3÷9/1 (YES) - (126÷3(NO) - (14/3×1/9(YES) - (14/3×9/1(NO)
Divide the pounds of blueberries by the number of batches.
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Four people want to equally share 7/8 of a pizza that was left over from lunch. Determine if the following expressions can be used to find how much of the pizza each person will get.
(7/8×1/4(YES) - (7/8×4/1(NO) - (8/7×1/4(NO) - (7/8÷4/1(YES)
Write the word problem as 7/8÷4/1.
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Connor wants to place 3 signs along the 1 1/4 mile driveway to the school to advertise for the upcoming bake sale. Determine if the following expressions can be used to find how many miles should be between each sign so that they are evenly spaced.
(13×45(NO) - (31÷54(NO) - (13×54(YES) - (54÷31(YES)
Divide the distance by the number of signs.
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Corinne has 8 pounds of sand that she will use as weights. She divides the sand into equal piles and places them in bags. Each sandbag weighs 2/7 pounds.Determine if the following expressions can be used to find how many sandbags Corinne can make.
(27÷81(NO) - (72×81(YES) - (87×27(NO) - (81÷27(YES)
Write the word problem as 8/1÷2/7.
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Eve bought 6 3/4 pounds of clay for her sculpting project. She separated the clay into equal pieces that each weighed 1 1/8 pounds. How many pieces of clay does Eve now have? Write your answer in simplest form.
SOLUTION: To split into equal parts, you must divide.
Rewrite the expression 6 3/4÷1 1/8 using improper fractions: 27/4÷9/8.
Then turn the division problem into a multiplication problem by multiplying by the reciprocal of the divisor: 27/4×8/9.
Multiply, simplify, and solve: 27/4×8/9=27/1×2/9=54/9=6.
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Robert has 10 2/3 pounds of dog food. His new puppy needs 5/9 of a pound each day. How many days will the dog food last?
SOLUTION:
10 2/3 as an improper fraction is 32/3.
Divide 32/3 by 5/9.
The reciprocal of 5/9 is 9/5.
Then, you multiply 32/3×9/5=19 1/5
It will last 19 1/5 days.