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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2, which means 2 whole parts and 1/2 of another part.

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 and add the numerator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

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 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 simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, 4/8 simplifies to 1/2.

Front

What does it mean to scale a recipe?

Back

Scaling a recipe means adjusting the ingredient amounts to make more or fewer servings than the original recipe.

Front

If a recipe serves 8 and you need to serve 4, how do you find the new ingredient amounts?

Back

To find the new ingredient amounts, divide each ingredient by the ratio of the servings needed to the original servings. In this case, divide by 2.

Front

How many cups of 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.