Operations with Fractions and Decimals Add/Sub/Mult/Div

Multiplication rules

  1. Put all MIXED NUMBERS in IMPROPER FORM.
  2. Reduce all fractions before multiplying
  3. Multiply the numerator times the numerator and the denominator times the denominator.

fra1.gif

fra3.gif

 To Multiply decimals numbers:

Multiply the numbers, then count the number of decimal places.

Video Icon.jpg

 

Watch the Video: Arithmetic Basics: Multiplying Decimals by Patrick JMT

 

 

Division rules

  1. CHANGE division sign to a multiplication sign.
  2. Write the RECIPROCAL of the divisor (2nd number).
  3. Follow the multiplication rules.

fra2.gif

 division.png

 To DIVIDE decimal numbers:

1. Move the decimal point in the divisor so that it becomes a whole number.

2. Move the decimal point in the dividend the same number of places to the right

3. Divide as if working with whole numbers. Write the decimal point in the answer directly above the decimal point in the dividend.

 

 

 

Video Icon.jpg

 

Watch the Video: Arithmetic Basics: Dividing Decimals by PatrickJMT

 

Video Icon.jpg

 

Watch the Video: Fractions- Multiplying and Dividing by PatrickJMT

 

 

Addition and subtraction rules

  1. Must have a common denominator
  2. Add or subtract numerators only
  3. Denominator remains the same
  4. Reduce to lowest terms
  5. When adding or subtracting mixed numbers

a. Add or subtract whole numbers

b. With addition and subtraction extra step (carrying or borrowing) may be needed

c. Answers must always be in lowest terms

fra5.gif

 

 

Examples:

 fra6.gif

fra7.gif

Examples:

Add the following numbers: 2.046, 0.658 and 1.39.                    

Line up the decimals, fill in any needed zero, and add the columns.

decimal1.gif

 Subtract the following numbers: 10.8 - 3.52

Line up the decimals, fill in any needed zeros and subtract the columns.

subtraction.png

 

 Toggle open/close quiz question

Match the items.
The task is to match the lettered items with the correct numbered items. Appearing below is a list of lettered items. Following that is a list of numbered items. Each numbered item is followed by a drop-down. Select the letter in the drop down that best matches the numbered item with the lettered alternatives.
a. 
b. 4.37
c. -3.83
d. 
 

 

Video Icon.jpg

 

Watch the Video: Fractions 1: Reducing by Pat McKeague

 

Video Icon.jpg

 

Watch the Video: Fractions 2: Multiplication by Pat McKeague 

 

Video Icon.jpg

 Watch the Video: Adding & Subtracting Fractions by Khan Academy

 

Video Icon.jpg

Watch the Video: Subtracting Fractions by Khan Academy

 

Video Icon.jpg

Watch the Video: Adding Fractions with Unlike Denominators by Khan Academy

 

Video Icon.jpg

Watch the Video: Subtracting Decimals by Khan Academy

 

Video Icon.jpg

Watch the Video: Adding Decimals by Khan Academy