Multiplying and dividing fractions

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 3/4 by 7/8, you multiply 3/4 by 8/7.

Front

How do you convert a division of fractions into a multiplication problem?

Back

To convert a division of fractions into a multiplication problem, take the first fraction and multiply it by the reciprocal of the second fraction. For example, 9/10 ÷ 2/5 becomes 9/10 x 5/2.

Front

What is a reciprocal in the context of fractions?

Back

A reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you find the total number of pages read when given a fraction of a total?

Back

To find the total number of pages read, calculate the fraction of the total and then add any additional pages read. For example, if Kim read 1/4 of an 8-page chapter, she read 2 pages, and if Christina read 3 pages, the total is 5 pages.

Front

What is the formula to determine the number of servings in a bag of ingredients?

Back

To determine the number of servings, divide the total amount of the ingredient by the serving size. For example, if there are 2 cups of chocolate chips and the serving size is 1/3 cup, the number of servings is 2 ÷ (1/3) = 6 servings.

Front

How do you calculate the number of servings from a total weight and serving size?

Back

To calculate the number of servings from a total weight, divide the total weight by the weight of one serving. For example, if a box contains 12 ounces of crackers and each serving is 2/3 ounce, the number of servings is 12 ÷ (2/3) = 18 servings.

Front

What is the importance of understanding fractions in real-life applications?

Back

Understanding fractions is important in real-life applications such as cooking, budgeting, and measuring, as it allows individuals to accurately divide and manage quantities.

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 can you simplify the process of multiplying fractions?

Back

To simplify the process of multiplying fractions, multiply the numerators together and the denominators together. For example, (3/4) x (2/5) = (3*2)/(4*5) = 6/20, which simplifies to 3/10.

Front

What is a mixed number and how is it related to fractions?

Back

A mixed number is a whole number combined with a proper fraction. It can be converted to an improper fraction for calculations.