Pre-Alg: 5-2 Multiplying 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

What is the product of 2/3 and 3/4?

Back

The product is (2*3)/(3*4) = 6/12, which simplifies to 1/2.

Front

How do you find the product of a fraction and a mixed number?

Back

Convert the mixed number to an improper fraction, then multiply as you would with two fractions. For example, 2 1/2 * 3/4 = (5/2) * (3/4) = 15/8.

Front

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

Back

Read the problem carefully to identify the fractions involved and what is being asked.

Front

If a recipe calls for 1/4 cup of sugar for each serving and you make 6 servings, how much sugar do you need?

Back

Multiply: (1/4) * 6 = 6/4 = 1 1/2 cups of sugar.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest number that can be used as a common denominator for two or more fractions.