Steps     5 2/3  +  5 2/3

                      1) Add Whole numbers

  5 + 5 = 10

                       2) Add fractions

2/3  +  2/3  =  4/3

                       3) convert improper fractions to mixed numbers (divide                                         numerator by denominator, answer is the whole                                               number, remainder is the numerator, and the                                                   denominator stays the same

4 ÷ 3 =  1 remainder 1  or  1 1/3

                       4) Add whole number to mixed number and that's your                                     answer

10 + 1 1/3  =  11 1/3

Steps   6 2/5   -   3  3/5

1) Convert both mixed numbers into improper fractions

1. multiply the whole number by the denominator and then add the numerator.  This becomes your numerator and the denominator stays the same.

  (6x5)+2=   32/5  = 6 2/5                   (3x5)+3 = 18/5  =  3 3/5

2) Subtract the numerators (denominator stays the same)

32-18 = 14/5

3) Change the improper fraction back to a whole number

•  convert improper fractions to mixed numbers (divide                                         numerator by denominator, answer is the whole                                               number, remainder is the numerator, and the                                                   denominator stays the same

14 ÷ 5 =  2 remainder 4  or  2 4/5

14/5 = 2 4/5

• Read 20 Minutes and Log
• Math W/S: Adding improper fractions

                 Steps     5 2/3  +  5 2/3

                      1) Add Whole numbers

  5 + 5 = 10

                       2) Add fractions

2/3  +  2/3  =  4/3

                       3) convert improper fractions to mixed numbers (divide                                         numerator by denominator, answer is the whole                                               number, remainder is the numerator, and the                                                   denominator stays the same

4 ÷ 3 =  1 remainder 1  or  1 1/3

                       4) Add whole number to mixed number and that's your                                     answer

10 + 1 1/3  =  11 1/3

Students needed extra practice changing mixed numbers into improper fractions and visa versa.

1. Math w/s
2. Read 20 Minutes and log
3. Cultural research projects are due in 14 days

Math Help

Mixed Fractions

(Also called "Mixed Numbers")

Examples

See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number).

Names

We can give names to every part of a mixed fraction:

Three Types of Fractions

There are three types of fraction:

Mixed Fractions or Improper Fractions

You can use either an improper fraction or a mixed fraction to show the same amount.

For example 1 ³/₄ = ⁷/₄, as shown here:

Converting Mixed Fractions to Improper Fractions

To convert a mixed fraction to an improper fraction, follow these steps: 

• Multiply the whole number part by the fraction's denominator.
• Add that to the numerator
• Write that result on top of the denominator.

Example: Convert 3 ²/₅ to an improper fraction.

Multiply the whole number by the denominator:

3 × 5 = 15

Add the numerator to that:

15 + 2 = 17

Then write that down above the denominator, like this:

Converting Improper Fractions to Mixed Fractions

To convert an improper fraction to a mixed fraction, follow these steps: 

• Divide the numerator by the denominator.
• Write down the whole number answer
• Then write down any remainder above the denominator.

Example: Convert 11/4 to a mixed fraction.

Divide:

11 ÷ 4 = 2 with a remainder of 3

Write down the 2 and then write down the remainder (3) above the denominator (4), like this:

When to Use Improper Fractions or Mixed Fractions

For everyday use, people understand mixed fractions better:

Example: It is easier to say "I ate 2 ¹/₄ sausages", than "I ate ⁹/₄ sausages"

But for mathematics improper fractions are actually better than mixed fractions.

Because mixed fractions can be confusing when you write them down in a formula (are the two parts supposed to be added or multipled?):