Dividing Fractions Word Problems

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 1/2 by 1/3, you multiply 1/2 by 3/1, resulting in 3/2.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator. For example, 2 3/4 becomes (2*4 + 3)/4 = 11/4.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2, and the reciprocal of 1/3 is 3.

Front

How do you find the total amount of food each kitten receives if 22 ounces are divided among 8 kittens?

Back

To find the amount of food each kitten receives, divide the total ounces by the number of kittens: 22 ounces ÷ 8 kittens = 2.75 ounces per kitten.

Front

What is the formula for finding the average when sharing items equally?

Back

The average amount per person is found by dividing the total number of items by the number of people. For example, if there are 21 brownies and 6 people, the average is 21 ÷ 6 = 3.5 brownies per person.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.

Front

What does it mean to share something equally?

Back

To share something equally means to divide it into equal parts so that each person receives the same amount.

Front

How do you determine how much time is spent on each problem if 1/3 of an hour is used for 4 problems?

Back

To find the time spent on each problem, divide the total time by the number of problems: (1/3) ÷ 4 = 1/12 of an hour per problem.

Front

What is the significance of the expression '3 divided by 1/3'?

Back

The expression '3 divided by 1/3' calculates how many 1/3 cup servings can be made from 3 cups. The answer is 9 servings.

Front

What is the relationship between division and multiplication in the context of fractions?

Back

Division of fractions can be transformed into multiplication by using the reciprocal of the divisor. This relationship is fundamental in solving fraction problems.