Multiply and Divide Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the first step in solving a word problem involving fractions?

Back

Identify the quantities involved and determine what operation (addition, subtraction, multiplication, or division) is needed.

Front

If a recipe serves 8 and you need to serve 4, how do you adjust the ingredients?

Back

You divide the amount of each ingredient by 2, since 4 is half of 8.

Front

How much flour does Susie need for 4 dozen cookies if the recipe calls for 1 1/2 cups for 2 dozen?

Back

Susie needs 3 cups of flour for 4 dozen cookies.

Front

If a recipe calls for 2 1/2 tablespoons of sugar for 4 servings, how much is needed for 24 servings?

Back

You multiply 2 1/2 by 6 (since 24/4 = 6), resulting in 15 tablespoons of sugar.

Front

What is the relationship between the numerator and denominator in a fraction?

Back

The numerator indicates how many parts are being considered, while the denominator indicates how many equal parts the whole is divided into.