Fraction Operations with Mixed Numbers

Fractions and Mixed Numbers

Fractions

​What are Fractions?

Fractions are parts of a whole or a collection of objects. The top number is called the numerator which shows how many parts of the whole or collection are taken. The bottom number is callled the numerator which shows how many parts are divided into the total number of objects in a collection.

​Improper Fractions

​Proper Fractions

Types of Fractions

How to reduce Fractions

​Find the factors of the numerator and denominator then divide the numnerator and denominator until they are in there reduced form.

  The factors of 6 are 1, 2, 3, and 6. The factors of 30 are 1, 2, 3, 5, 6, 15, and 30. The common factors of 6 and 30 are 1, 2, 3, and 6.

​Dividing by 3

​Dividing by 2

How to reduce 6/30

​Dividing 6/30 by 6

​Fraction Problems

Fill in the Blanks

Reduce the fraction to its lowest term. $\frac{9}{12}$

Fill in the Blanks

Reduce the fraction to the lowest form: $\frac{6}{24}$

Fill in the Blanks

Reduce the fraction to its lowest form: $\frac{7}{49}$

Mixed Numbers

What are Mixed Numbers

Converting Improper Fractions to Mixed Numbers

​Convert 40/14 to a mixed number.

Mixed Number Problems

​Convert the Improper Fractions to Mixed Numbers.

Fill in the Blanks

Convert $\frac{20}{13}$ to a mixed number.

Fill in the Blanks

Convert $\frac{30}{12}$ to a mixed number.

Fill in the Blanks

Convert $\frac{40}{9}$ to a mixed number.

Solve the Problems

​Reduce or convert the following problems

Match

Match fractions with the lowest forms.

• $$\frac{50}{13}$$

• $$\frac{8}{40}$$

• $$\frac{15}{6}$$

• $$\frac{15}{27}$$

• $$3\ \frac{11}{13}$$

• $$\frac{1}{5}$$

• $$2\ \frac{1}{2}$$

• $$\frac{5}{9}$$