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 1/4, you multiply 1/2 by 4/1, which equals 2.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width. For example, if a rectangle is 6 yards long and 4 yards wide, the area is 6 x 4 = 24 square yards.

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 3/4 is 4/3.

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 result over the original denominator. For example, 2 1/2 becomes (2*2 + 1)/2 = 5/2.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication and division of fractions are inverse operations. Dividing by a fraction is the same as multiplying by its reciprocal.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/12, divide both by 4 to get 2/3.

Front

What is the formula for finding the area of a rectangle when doubling its dimensions?

Back

If you double the dimensions of a rectangle, the new area is four times the original area. For example, if the original area is 24 square yards, the new area will be 24 x 4 = 96 square yards.

Front

How do you calculate the amount of food each kitten receives?

Back

To find the amount of food each kitten receives, divide the total amount of food by the number of kittens. For example, 22 ounces of food for 8 kittens means each kitten gets 22/8 = 2.75 ounces.

Front

What is the significance of the product being less than a certain number in multiplication?

Back

If the product of two fractions is less than a whole number, it indicates that the fractions are less than 1. For example, 7/8 x 8 = 7, which is less than 8.

Front

How do you determine the time spent on each problem?

Back

To find the time spent on each problem, divide the total time by the number of problems. For example, if Kamari spent 1/3 of an hour on 4 problems, he spent (1/3) / 4 = 1/12 of an hour on each problem.