Multiplying and Dividing Fractions - Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole, expressed as a numerator (top number) over a denominator (bottom number).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 1/2 * 3/4 = (1*3)/(2*4) = 3/8.

Front

What does it mean to divide fractions?

Back

Dividing fractions means multiplying by the reciprocal of the second fraction. For example, 1/2 ÷ 3/4 = 1/2 * 4/3 = 4/6 = 2/3.

Front

What is the reciprocal of a fraction?

Back

The 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 a fraction of a quantity?

Back

To find a fraction of a quantity, multiply the quantity by the numerator of the fraction and then divide by the denominator. For example, to find 1/3 of 12, calculate (1*12)/3 = 4.

Front

What is a word problem in math?

Back

A word problem is a mathematical question presented in a narrative form, requiring interpretation and problem-solving skills to find the answer.

Front

How do you solve a word problem involving fractions?

Back

Identify the fractions involved, determine what is being asked, and apply the appropriate operations (addition, subtraction, multiplication, or division) to solve.

Front

What is the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width. For example, if length = 3 yards and width = 2 yards, area = 3 * 2 = 6 square yards.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with. It involves reducing the fraction to its lowest terms.

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 over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.